I don't want to celebrate my birthday
Why don't you want to celebrate my birthday?
I'd have to invite a person who hurt my feelings.
If it's a good friend, you should try and work it out. But it's your birthday. You have deal with your feeling and accept the situation in the long run.
I don't want to feel bad.
I just think if you try and work out your conflict with them, then you'll have a fun birthday!