Too many answers just going the company line, "bigger is better" where really, they shouldn't be saying anything, as they don't have your wrists--some wrists, though small, are wide and flat, and can hold a relatively large watch, while others are much rounder, where a smaller watch is better--we really don't know which yours is. Further, it is one thing whether you "can" wear a large watch, and another whether it really looks well integrated with your wrist. The obvious solution would be to try on both watches and decide for yourself--but, it appears you can't do that.
My wrist is small, at 6.75, but is relatively flat, and so I "can" wear a larger watch, even as large as a 44mm--but, I have found that over time (with maturity comes at least some wisdom?) the smaller looks and feels better, even "cooler", than the bigger ones--I would go with the 36mm myself--but, if I were you I really wouldn't listen to anyone here to help you decide between the two--you should try them on--or something similar--in person, and decide for yourself.