Thank you for your help.
After googling a bit more I have concluded that I have a really light form of tendinitis since I get pain after climbing for 30 minutes which goes away after less then two hours.
This means to take off for a couple of weeks and do physical therapy in order to build the strength in my tendons.
Any other advice or comments on my self diagnosis would be very helpful thank you for reading this!
Because you are aggravating the injury by over doing it.
Stop when it starts to hurt.
But if it was an injury wouldn't it hurt all the time? Why does it only hurt once I workout for 30 minutes or more?
This is the wrong forum, but I'll suggest that you have injured the elbow and should let it rest and heal, meaning, do not stress the elbow with climbing, weight training, or any other strenuous activity until it is fully healed.
Ice your elbow, elevate it, and rest it. If needed for support, wrap lightly with an ace bandage. Gentle exercise is recommended to increase blood flow.
To answer your basic question, in general:
-- If you have muscle pain the following day after a workout, then this is probably temporary muscle strain that will pass.
-- If you have pain during an activity, its probably an injury.
Pain is a signal that there is something wrong. Do not ignore that signal, and by all means forget those testosterone-filled expressions like "no-pain, no-gain." They're for knuckle draggers. Following them is a great way to invite injury.