Damus has a couple different options depending on what you want to do:

0. Zap type "public" where everyone sees that you zapped them

1. Zap type "private" which are zaps sent with an encrypted message that can only be seen by the person you zap. No one else can see that you zapped them.

2. Zap type "anonymous" where no one can see that you zapped them but is counted towards the zaps on a given post

3. Zap type "none" which is just a lightning payment, no zap metadata at all