Should I invite her?

My husbands best friend has this girlfriend that I don’t want to invite to my baby shower... The reasons are endless... She is rude, loud and does not understand personal space. I have tried to like her multiple times, but I just can’t seem to. I am civil with her and not rude/mean. I’m just one of those people if I don’t like someone I just try to avoid conversation with them. So here is the dilemma my husband is going to invite his friends over the day of the shower to hang out at the pond and fish so that means his girlfriend will know. I don’t want to be mean and not invite her, but at the same time I don’t want anyone who I am not comfortable with at the shower. Also, if I invite her I will have to invite his mom and sisters. I don’t like being the center of attention and want this to be a small shower. So the question is to invite her or not? Why?

*to add that their relationship is confusing because of many reasons and his friend keeps wanting to end the relationship, but has not.