Do females have a higher carbon footprint?

Do they?

Surprising. If so, what examples exist/why is this the case?

Men are on average bigger, stronger, less biochemically efficient (they die sooner) and thus eat more than women, so on that basis no. You then have to factor in secondary effects, buying cloths more / less often, using makeup (for 1 woman zero effect, for a few billion however ?), likelihood of walking versus driving / public transport etc so its not obvious.

Time to do the numbers if this is a homework problem, as the Martian says, "you are going to have to science the s*** out of this" .

"die sooner"

What - a few years on average according to data and even then, as a dude, you're still likely to have good longevity.