You should not have been refused an insulin pump purely on the grounds that you are type 2 (I wasn't). However, I can easily see a doctor refusing you a pump on the grounds you wouldn't be able to use it safely. Can you remember at the end of a meal if you have already injected, or if you need to now?
The cgm I am surprised at though. With an hba1c that high, I would think anything that might reduce it would be welcomed by the doctors.
Is it possible they are interpreting forgetting to take medication as refusing to take medication? That way they can refuse further treatment options until you have fully 'explored' the treatment offered at present.
The way forward? I would try keeping records. Write everything down when you do it. If you can get that to be a habit, then the doctors will see you are doing your best, they will have some data to work with, and if the records are mostly complete, they see that you could cope with a pump and it would help. That's all I can think of.