We have been waiting since Nov 2019 for Apple Enterprise Developer Enrolement.
The same status message "Your enrollment is being processed"
How long do we have to wait?
Apple Enterprise Developer Account
We just got ours and it took about 6 months. They are very stringent when approving those accounts
Apple hsa started to spend a lot of time on the validation because of the rampant fraud and piracy that came from illictly obtained enterprise certificates.
It's good to secure the platform but, as usual, the actions of bad actors mostly causes headaches for legitimate ones.