If Trump is impeached and removed from office, he would be ineligible to hold office again per the Constitution Article 1, Section 3, Clause 7.
I really doubt that the repugs in the Senate would vote to convict Trump no matter what his guilt, so it is unlikely at best.
It doesn't say anything about the people electing him president after the Senate removes him.
Try again...
The Senate shall have the sole Power to try all Impeachments. When sitting for that Purpose, they shall be on Oath or Affirmation. When the President of the United States is tried, the Chief Justice shall preside: And no Person shall be convicted without the Concurrence of two thirds of the Members presen
"Judgment in Cases of Impeachment shall not extend further than to removal from Office, and disqualification to hold and enjoy any Office of honor, Trust or Profit under the United States: but the Party convicted shall nevertheless be liable and subject to Indictment, Trial, Judgment and Punishment, according to Law."
ARTICLE I, SECTION 3, CLAUSE 7
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Clearly it says that the senate can disqualify him from holding any future office.