In my not so humble opinion, you won't be ready. First let me tell you that I have suffered shoulder problems off and on for a number of years. Diving activity has on occasion aggravated that, and on other occasions, my shoulder problems have made my diving activity difficult and that is with significant number of dives/years of diving under my weight belt.
Let us not even discuss what can be involved with rotation, getting in and out of wetsuits, and BCD,s. It is your left arm that you will have to use to manage your power inflation hose. At a minimum, that will require you to raise your left arm almost straight up.
Assuming you will be boat diving, a more significant issue, is managing the ladder upon entering the boat from the ocean. If you were an experienced diver, you may be able to remove all of your gear in the water, without the necessity of ever holding onto the ladder, and then, use only your good shoulder to assist yourself on climbing the ladder, and all this in ideal conditions. Should the seas be rough, the pull of the ladder on your shoulder, as the boat rises, falls, bobs and weaves, could be very bad for you.
Again, I'm not a doctor, and I'm not trying to play one on the internet . . . just a dive fanatic, who's had her share of shoulder problems, and I'm saying wait until you are completely healed. Give it six months at least. If you are going to be living on the island and haven't dived yet, that shouldn't be a hardship, whereas, messing up your newly constructed shoulder . . . well . . .