I dislocated my right shoulder last year though it popped out and then back in. I was out for around a month and 1/2. I didn't go to physio though. When this happened it was in April so it was near the end of the season but still I was just given a tiny piece of blue thick cloth with velcro on each end to hold my arm in place, It hurt like heck the first 1-2 weeks but after that it went away and was fine.
Currently i haven't noticed any problems with it other than sometimes when i'm walking and my arms are swinging i notice my right arm isn't as much as my left arm but I can move it around with no pain so its kinda wierd.
Good Luck and hope you recover fast