Within the Christian community, there is disagreement regarding whether or not salvation can be lost The “once saved, always saved” believers can find Bible verses to justify their belief in everlasting salvation. Here are a few examples of the verses they rely on (all references are to the KJV):
“And I give unto them eternal life; and they shall never perish, neither shall any man pluck them out of my hand” (John 10:28).
"My Father, which gave them me, is greater than all; and no man is able to pluck them out of my Father's hand” (John 10:29).
"Who shall separate us from the love of Christ? shall tribulation, or distress, or persecution, or famine, or nakedness, or peril, or
sword?” (Romans 8:35).
"For I am persuaded, that neither death, nor life, nor angels, nor principalities, nor powers, nor things present, nor things to come.. Nor height, nor depth, nor any other creature, shall be able to separate us from the love of God, which is in Christ Jesus our Lord”(Romans 8:38, 39).
"Wherefore he is able also to save them to the uttermost that come unto God by him, seeing he ever liveth to make intercession for them" (Hebrews 7:25).
However, not all Christians believe in the “once saved, always saved” doctrine. They believe salvation can be lost if after accepting Christ they return to a life of sin. Here are a few examples of the verses they rely upon:such verses:
“For it is impossible for those who were once enlightened, and have tasted of the heavenly gift, and were made partakers of the Holy Ghost, And have tasted the good word of God, and the powers of the world to come, If they shall fall away, to renew them again unto repentance; seeing they crucify to themselves the Son of God afresh, and put him to an open shame” (Hebrews 6:4-6).
“But this man, after he had offered one sacrifice for sins for ever, sat down on the right hand of God; From henceforth expecting till his enemies be made his footstool. For by one offering he hath perfected for ever them that are sanctified. Whereof the Holy Ghost also is a witness to us: for after that he had said before, This is the covenant that I will make with them after those days, saith the Lord, I will put my laws into their hearts, and in their minds will I write them; And their sins and iniquities will I remember no more. Now where remission of these is, there is no more offering for sin....….
For if we sin wilfully after that we have received the knowledge of the truth, there remaineth no more sacrifice for sins, But a certain fearful looking for of judgment and fiery indignation, which shall devour the adversaries. He that despised Moses' law died without mercy under two or three witnesses: Of how much sorer punishment, suppose ye, shall he be thought worthy, who hath trodden under foot the Son of God, and hath counted the blood of the covenant, wherewith he was sanctified, an unholy thing, and hath done despite unto the Spirit of grace? For we know him that hath said, Vengeance belongeth unto me, I will recompense, saith the Lord. And again, The Lord shall judge his people. It is a fearful thing to fall into the hands of the living God” (Hebrews 10: 12-18; 26-31, emphasis my own)
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“For if after they have escaped the pollutions of the world through the knowledge of the Lord and Saviour Jesus Christ, they are again entangled therein, and overcome, the latter end is worse with them than the beginning.
For it had been better for them not to have known the way of righteousness, than, after they have known it, to turn from the holy commandment delivered unto them. But it is happened unto them according to the true proverb, The dog is turned to his own vomit again; and the sow that was washed to her wallowing in the mire” (2 Peter 2:20-22, emphasis my own).
“Not every one that saith unto me, Lord, Lord, shall enter into the kingdom of heaven; but he that doeth the will of my Father which is in heaven. Many will say to me in that day, Lord, Lord, have we not prophesied in thy name? and in thy name have cast out devils? and in thy name done many wonderful works? And then will I profess unto them, I never knew you: depart from me, ye that work iniquity” (Matthew 7:21-26).
“And hereby we do know that we know him, if we keep his commandments. He that saith, I know him, and keepeth not his commandments, is a liar, and the truth is not in him. But whoso keepeth his word, in him verily is the love of God perfected: hereby know we that we are in him. ” (1 John 2:3-5).
That's the best I can do for you. What confuses me is that you describe someone who would “pray and tell him [ God] you don't want to go to heaven, you want to go to hell.” This tells me that the person acknowledge the existence of both. If he/she believes - as most Christians do - that Heaven is a place of endless joy and Hell a place of endless torment, your question regarding whether anyone could renounce your salvation is moot because one would not and could not ever choose the latter over the former. I do understand how a man would react with hurt and anger because he blames God for allowing what happened to his daughter. Been there, done that. My only son put a gun to his head when he was only twenty four.
One of the questions for the ages is: Why does God let bad things happen to good people? I don't know the answer to that one. I personally believe in a continued existence after death. For me, the idea of eternal life puts this brief physical existence in proper perspective: an eternity of joy will erase every human sorrow no matter how great; all the suffering we endured will no longer hurt in any way.
CONCLUSION: I've given you all I have. If your post applies to you, rather than being a hypothetical question, all I can say is that you will get through this. Your daughter already has.
Have a good night.