There's no reason to think about other fish in the sea. You're not ready for that. And you should not get validation about your self-worth from someone else's affection and attention. Get comfortable in your own skin. I wasn't saying that you should be out in the dating world or whatever. I am saying that she isn't the only one for you, and from what I have read, isn't the optimal partner you're looking for. She isn't giving you what you need from a partner. You can't see it right now, but I can see it plain and simple from what you're writing about her.
Good about GAL and working to pick yourself up. I am happy to hear you're in IC. MC only works if both parties are ready to rebuild the MR and are there in good faith.
For the medical insurance, I would err on the side of no contact just because she's acted so drastically by removing herself, your cat, and other belongings. But part of me also believes that you should not abandon compassion and care. So, I would text her this - "Hey, I saw the medical transaction. I hope everything is okay and that you are well."