It's about this time that you want to consider doing some defoliation so the lower bud sites can get as much light as possible and so that you get good air flow through the whole plant which will help prevent fungus/mold from developing. One of the better articles on the subject of defoliation is this one - so take a look at it and make your own decision about whether or not to do this for your plant. https://www.growweedeasy.com/nebulas-super-simple-3-step-defoliation-tutorial
As far as the broken branch - no, I wouldn't cut it off just yet... the earlier you get to things like this the better but even now, try taping it up even using something that can act like a splint to support it. If the leaves on the branch start dying off, then you can trim the entire thing - but give it a chance...
Good luck!