Seriously, I don't think it would matter in a VP. I don't think folks decide to vote for a president based on his running mate, but I do believe they may decide to vote against someone based on his running mate.
I admit I have not done a scientific study on this, nor commissioned a poll. In fact, it could work in her favour. Men might fantasize about sweeping her off her feet, single women could empathise with how difficult it is to find a good man, and we could even start a whispering campaign in the "gay community" that she had a crush on Jan Reno...
In this day and age it matters. Todays VP may be tomorrow's President. Hell, todays speaker of the house may be tomorrow's President!