Inspired, of course, by Sara Palin, but not about her.
An elected official resigns from one position, for the sake of argument about dead center into it. You probably voted for this person. The resignation is not due to a scandal. Say this politician runs for another office, or for the SAME office. How much would the resignation play into your vote.
To be fair, let’s say this is a primary election, and you belong to that party.
It depends on why they resigned, so I can’t give you an answer without knowing context.
If they resigned because they were desperately ill, I would certainly consider voting for them after recovery. Likewise, if they resigned one office to take another position in government (say, a governor resigning to take a position in the president’s cabinet), I’d think long and hard, but would not automatically rule out voting for them. If they resigned to take a gig as a talk show host, forget about it.
Since the OP was inspired by Sarah Palin I assume there was no acceptable reason for the departure mid-term. IMHO a candidate who runs for office is making a commitment to serve if elected. No way I would vote for that person again if they quit because they couldn’t stand the heat.