"That" coworker and the baby shower invite

So, everybody has "that" coworker. For me, "that" coworker is one of the few women that works in my office. I have always been slightly annoyed by her personality, but we generally got along very well. Then, we were both up for the same promotion, and when I got it, she became bitter. Now, she is an absolute nightmare. I don't even speak to her directly because of how the mere sound of her voice and presence irritates me (yes, it's been amplified by pregnancy :P). I simply tolerate her existence because I love my job and my boss.

So, here's the delimma. I love the other women in my office, and I desperately want them at my shower. But, how do I invite all my female coworkers, but not her? My philosophy through this whole this is to take the high road, be the bigger person, kill it with kindness, etc. But I seriously just cannot stand the thought of her being at my shower. Her presence would ruin it.

Do I send her an invite like everyone else, and just bank on her not coming (highly doubtful she will), or do I just send invites to everyone else?

Advice?! I've gotten both suggestions.