As a fellow anxious attachment person (I'm a guy tho).
Current options within out attachment style are to shut down and if there is no anger then just ignore him and start dating again
If there is anger involved then hit his next text with some level of aggression and take the ensuing conflict full on.
Be it passive aggressive like:
No problem, I assumed you'd be busy, so I've make plans for a dinner and a move with William.
The positive dismissal
That is fine, you do you ... It's all good, take care and best of luck!
The full on aggro
Oh just fuck off mate .. Have a good life
If he reacts strongly to any of the above you might even throw in a few hours of silent treatment .. or a We'll talk about this tomorrow when you've calmed down .. or ..