Why do I feel awful when I'm slightly rude to someone who was very wrong?

I can’t even sleep well if I made someone feel worthless a bit. This may be someone who is very wrong, who was very rude to me, who abused me, whatever… I just feel awful after I call them out because even if this person was wrong and hurt me I don’t want them to be hurt at all because of me. I’m in tears writing this. This happens to me with anyone! I even feel awful when I’m slightly mean to my cat. Or if I pet her a bit too hard or if I ignore her when I enter my house. I put myself in her shoes afterwards and think how her life must be like, and I just have to treat her like a queen instantly to make her forget how I acted.

I just want to know why I am like this and if its irrational!