AirDrop is a great way to quickly share lots of photos and videos with people, or even other Apple products you own, but, as The Atlantic pointed out recently, it's also being used more frequently by young people to send random memes to strangers within a 30-foot radius around them.
It's anonymous, and you'll still see a small thumbnail of what someone is trying to send you, even if you ultimately reject the request.
You can turn off AirDrop, or configure it differently, so that random people can't send you nudes or memes. Of course, if you like the fun memes, then you can still leave it on.
Both of those settings will prevent strangers from sending you AirDrop messages. You won't appear in their list of people to share to when they try to send a message, whether it's a meme or a nude photo. But, if this is the sort of thing you're into, then you can just leave it on.
All of this changes in Apple's new iOS 13 update which will roll out this fall. As I found in the beta software, pictured above, the new notification appears to remove the thumbnail from when someone tries to send you an AirDrop. This could change before Apple releases the final software, however.