I go down on my lady any time. She uses tampons, so there’s no mess, tho the string does get hooked in my stubble sometimes.

I’ve never, ever, EVER gotten any bloody discharge on me, tho I wouldn’t care if I did.

She has never mentioned a weird feeling in ten years of menstrual carpet munching with tampons in, so I’ll answer for her and say it doesn’t feel weird.

tl;dr - no and no