What happens if I take out my pad in my office and walk towards the washroom?
No hiding it in bags, no whispering about it as if I am doing something wrong. The worst that can happen? Maybe a few weird looks or raised eyebrows. But the best that can happen? The gaze upon menstruating women will normalise from disgust to one of respect and understanding.

Plot twist: OP is a guy
notices people looking at him weirdly
signals at people whether they want to take a closer look to assert dominance