Let's say that, hypothetically, Ms. Pelosi gets her act together and forwards the articles of impeachment to the Senate some time in 2020. Let's go further and suppose that (again, hypothetically) the Senate actually convicts Trump and removes him from office. Pence becomes President for the remainder of Trump's term.
This is Trump's FIRST term. The impeachment process removes him from office. Does the Constitution say -- anywhere -- that Trump can't run and be elected to a second term if he is impeached before the end of his first term?