My mom was very paranoid about showing off her scar/partially shaved head in public after she had brain surgery when I was a teen. We bought her a lot of scarves but sadly, we lived in a VERY windy area. None stayed on very long. She got a few weird stares but no comments. After a few days, she wasn't troubled at all.
I am a huge klutz and am constantly going around with scrapes and bruises. I'm allergic to most bandages and tapes too, (we could start a club!) so I frequently go without, just a little dab of surgical glue and I'm good to go!