To be clear, I do not have personal experience with this with a screen reader, but you can run
$1If screen reader works with Termux, which is basically a text console...then you should be good to go.
Termux is also available from
$1 and is free. I've had some devices which could not install Termux from Google Play, but could work with the f-droid one.
There is also Tinyfugue available in Termux. I have used both tintin++ and Tinyfugue as my mud clients for decades. I'd say tintin++ is more friendly.
Good luck!