So to be clear, you dumped it into the bottling bucket, which promptly clogged up from hop debris, then you dumped it back into the fermenter with your priming sugar still in it? Boy that's a new one.
I'm thinking you probably need to just let the priming sugar ferment out again over the next 3-4 days. That'll also give all the stuff you stirred up time to settle out. You almost certainly got some oxidation, but I don't think that's as big of a problem as people make it out to be as long as you don't take months to drink the stuff. Then start over again. Add more priming sugar and siphon back to the bottling bucket. Check the siphon to make sure the hose is fitted tightly to the racking cane part and that the plunger has a good seal in the tube first. This time even if it sucks some air don't give up on the siphon.
If it comes to it, start a siphon manually using just the tubing filled with sanitizer solution. Dip one end into the beer with your finger over the hole in the other end, hold the other end below the level of the beer and near your bottling bucket, and take your finger off the hole. He sanitizer should run out, pulling the beer from the fermenter after it. When the beer hits the end of the tube, direct it into the bucket. That's how people siphoned stuff in the good old days. [emoji12]