I agree with all the previous threads. Do not wait. The longer you wait the worse it might get. I was an occupational health nurse (plant nurse). We had people with hand problems, falls, etc.
Cathyvv said it best. You might not have broken anything, but there are ligaments and tendons on that side of the hand. You could have torn something. An orthopedic hand specialist can be of help to you and then check in with your RA doctor. You need to be proactive in your own health.
Warm soaks with epson salts in the AM will get the hand moving. Gentle exercise while soaking will help.
Call the RA doctor back and tell them it really is painful now worse than before. If they can not see you in the next few days, please refer you to someone who can help you in the mean time.
As a consumer, you need to be proactive on your behalf. PT will help, and splinting is important. Let us all know what happens.
Love and Prayers.