Based on what you've described, it doesn't sound like that big of a deal. However, until you do the prescribed strength conditioning, it is likely to linger. So you really should get on that after your season ends. In fact, that would make for some good active rest by working on your lower half and giving your arm a rest.
One thing I've found to help reduce the pain of tendinitis is to wear one of those neoprene supports. They retain body heat and that seems to help.