Yes delete your period app. But also don’t arrange rides for people to get abortions on Facebook. Don’t google “where to get an abortion” if you live in Texas. Don’t go to a protest unmasked. The privacy violations that are coming go so much deeper than period apps.
Use Signal or another encrypted app for communication. Use Duck Duck Go as your browser. Wear a mask. Pay for your pregnancy test in cash and don’t scan your Target circle app at the register.