thanks for using health care magic.
Per se, marijuana and propranol does not any interaction but,
Marijuana, even in small quantity can actually increase the anxiety on a long run and also you can become addict to it which is dangerous in itself.
You should consult qualified psychiatrist
to find the reason for anxiety and should get treatement.
propranolo is used mainly for performance anxiety and not for all teh kind of anxiety.
You should go for stress management
like relaxation techniques
, yoga, meditation
Hope you will be fine soon