My mother died and I don't want my boyfriend's daughter at my moms funeral.
That's strange. Why would you not want his daughter at your mom's funeral?
I don't want his feelings to be hurt by his daughter and cause issues.
Family issues can cause issues at events such as a funeral and make you want to do drastic things. Not inviting someone to a funeral based on personal feelings can be viewed very negatively, you should try to have a conversation with the daughter and try to fix the issues between you two. If you don't invite the daughter it could potentially cause a lot of harm with your relationship with your boyfriend.
I don't want his feelings harmed while he is being there for me.
Have you asked me what he wants. He might want her there. Excluding people from a funeral can cause drama when you just want to grieve.