I'd lay off of it for a bit with the weights but keep icing and treating when it hurts. Also, keep stretching it in a bunch of different motions for about 5-10 minutes a day, adding some very light weights if you feel up to it.

Then you could add in some magnesium, calcium, and glutamine to speed up the recovery a bit but that's up to you.

Should I just avoid working anterior and medial delts for a while? I still want to work abs and legs in the meantime without turning into a t-rex.

Everyone is different and it's a lot more complicated than this but heres the simple version: it takes roughly 3 weeks to lose 1 weeks worth of gains therefore even if you were out for a month you shouldn't notice the difference plus as long as you weren't of the week before as well you'd probably come back just as strong if not stronger keeping in mind that the gains happen out of the gym.