There's no such thing as "my truth" or "your truth". Truth and fact just are. That's kinda the definition. God exists, or He does not, and neither my belief or your disbelief will alter it one way or the other.
Look at it this way: the existence of Pluto (the planet, not the Disney dog) was completely unknown for a long time, and then it was suspected and posited and theorized long before any definitive proof existed. And there were a lot of people who disagreed and didn't believe there really was anything there, back when it was first suggested. Did that disbelief change the fact that Pluto existed? Did those disbelievers have "their truth" on the subject, and the theorizers "their own truth"?
You need to learn to communicate more precisely, so that you don't whip out sloppy phrases like "does not exist for me" and start thinking that's anything literal. What you're actually trying to say is, "I don't wish to believe it exists, therefore I will adamantly refuse to even contemplate the possibility that I'm wrong". Or, for short, "I disbelieve", but you must understand that your belief is not a "truth" of any sort, in and of itself.