Do I invite her to my baby shower?

A few weeks back, a good friend & I had a fallout. She said something to me that I thought was very disrespectful & uncalled for. I confronted her about it, but no apology. To even make sure I wasn't overreacting due to my hormones, I ran it through other people & they infact agreed she was being rude. We haven't spoken since then, just awkward moments when she would like a post or picture on social network. I'm planning my baby shower, & I am encouraged by other friends to invite her. I really don't want her there because as far as I'm concerned, our friendship is over.