Trust me snowflake if it'll stop the crying you'll do it ;)
The trick is in how you dress. One doesn't strip, in fact one shows less flesh than wearing a bikini.
You need: nursing bras with clips; vest tops; floaty shirt/top or baggy jumper depending on time of year.
Reach under outer layer with opposite hand to unclip bra and pull down vest (and remove breast pad). Holding baby with the arm of the side you're about to feed from, shove your nipple to their nose and drag the nipple down into their mouth.
Unless someone is leering at you unpleasantly, they won't notice or see anything. 99.9% of people will either think "What a cute baby, isn't mum doing well to cope so marvellously" or "Thank fuck that noise has stopped" 