The instant I saw this picture, I thought of the Parks and Rec scene:
"That's not really the attitude I expect from an award winner."
"Everything I do is the attitude of an award winner, because I have won an award."

That should be the case for the picture "Everything I do is manly because I am a man." And the same for the person you are responding to "Everything I do is gay/straight/other because I am gay/straight/other." That one part of someone's identity has no bearing on defining the rest of them - ie, being gay means that he's attracted to men but doesn't define what he wears, how he acts, etc.

High-heeled shoes were invented in Persia for cavalrymen and later used by sharpshooters. Men wear flowing cloth garments like skirts/dresses in many extant cultures. Men used to play all of the female roles in Western plays, in full clothing and makeup. Men have been removing and shaping body hair since the ancient Egyptians, Romans and Greeks. Even as recently as the 1970s men would wear cropped tops and short-shorts.

There are so many examples to deconstruct things that we view as feminine or masculine as being entirely arbitrary, culturally-locked and era specific. It’s all socially constructed, and therefore can be deconstructed - but only if you’re willing or able to engage in reflection.