Unless we can get a well defined and agreed upon definition of 'more social pressed' and a way to measure such, we could spend all day running in circles on this issue.
I'm not sure that there is a good, unambiguous, and meaningful way of doing a unidimensional quantification of that to make that comparison. Its probably better to recognize that each gender has different socially-imposed expectations, that create problems in different situations and present different opportunities for conflicts with between internal preferences and drives and external expectations.
You can then meaningfully discuss differences (including "which gender is more affected") between pressures in particular contexts, such as pressures to accommodate social advances in situations that compromise personal safety, without getting into a competition on the vague issue of "which gender is exposed to more social pressures" in some murky overall sense.
Sure but which gender does society place more pressures on?