Should I report my manager to HR?

The floral manager in my store is always telling me about how she cheats on her husband( on several occasions she had told me how thrilling it is) is always bothered me but I didn't say anything cuz I didn't want to make her upset.

Recently I found out that my family cat would need to be put to sleep due to cancer. I discussed it with her asap and at first she told me we would figure it out. Then a few days later she told me i had to find a replacement after she spoke with the FE manager, whom then asked the same person she had directed me to ask, to cover my shift.

All of this feels very targeted and very hostile. I've already decided I no longer wish to be the floral back up, but should I report her to HR too? I never want to work with or talk to her again.

Edited for Grammer