to invite or not to invite...

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I am going to have a small birthday celebration few days from now. I invited almost all of my close friends. I have this another friend of mine who happened to be my boyfriend's ex-girlfriend. They had a relationship for just very short period of time before us. I knew it before because we were really close friends long time ago. Now, we are still friends but not as closed as before. I am just confused if I'm going to invite her or not during my birthday celebration. I feel awkward and uncomfortable when she's around especially if I'm with my boyfriend. I know, I shouldn't feel this way because they already broke up after many long years and that they were still very young at that time when they had a relationship. But I just don't want her to be part of us once again. Am I going to invite her or not?