New Roof, Hurting Tree

Here's the new roof, overlaying the existing house, as seen through our almond tree.
This is our final weekend to empty out the top story of the house, next week the roofing, siding and windows go in so they can bust through into the existing house. How exciting!

But we've noticed that this poor almond tree has moss and lichen growing on the lower part of it, I'm not sure what to do with it! I suppose I could cut off the affected branches and see if that helps or not. I'd hate to lose this tree, it is the squirrel's favorite!