Get rid of that willow as soon as you can. I had one doing that right next to my house. Fun part is that it was between the house and the power line coming in. The first branch that came down went through a window into my front room. The second one fell with no wind or storms into my driveway (a neighbor had been parked under it just a few minutes before!). The third large branch like your tree has landed on the roof. It didn't damage it, but it wasn't any fun being on top of a tall 2 story house with a steep roof using a chainsaw. At that point I decided it had to go. There wasn't much left but the trunk anyway. I was afraid to cut it with it right next to the house and power line, and it was leaning toward the house. I don't think I'd recommend this method, but I chained it to my truck and decided to pull it down, so I could put it where I wanted it. This tree was so rotten that despite about a 1.5-2 foot diameter, the chain ripped through it. The top third of the tree went flying through the air, bounced off the power line and landed in the driveway. Ok, somehow the power line survived this. So I chain it up again and have a repeat, without hitting the power line this time. The third time sawed off most of the bottom third. But if I could "cut down" a tree this big with a chain and a Ford F250, that can give you a good picture of how rotten these trees get, and how dangerous. I was pretty sure it was rotten enough that I could pull it down, but I didn't anticipate the chain ripping through it. I'd get rid of it as soon as possible before it hurts someone.