Good to hear you are seeing a practitioner about this situation.
Was the cause of the tendinitis determined?
A deviation in technique, restriction on range of motion within the system?
Have you addressed upstream and down stream of the elbow?
There could be impacting factors within the system.
Until the cause is addressed the situation will continue.

Recommend not icing it.
Icing slows down the healing. There are more effective things you can do.
People, We’ve Got to Stop Icing Injuries. We Were Wrong, Sooo Wrong | Community Video
(A year later) Peoples, We’ve Got to Stop Icing. A Year Later…. | Community Video
Also Gary’s book ICED is a great resource.

Have you voodoo banded your elbow at all?
Banish Your Elbow Bench, Dip, Pull Up Pain, You Don’t Really Play Golf or Tennis Do You?
Pro Episode # 32 – VooDoo Floss Series #1, Theory and Elbow
Pro Episode # 34 – Voodoo Floss Primer: Elbow Part 2.

Are there restrictions in your shoulder range of motion?
What is your shoulder position like when sitting and standing?

Hitting your forearm and wrist can help improve the situation with your elbow.
Feel free to email [email protected] or message me and we’ll put together an action plan on it.