Get past the bridge part, whether you run or hurt him till he goes away. Then when you're at the big staircase, you can run past him. Check YouTube for vids on the route to take, your timing has to be spot on. Then you can kill him from below where he can't hit you, but make sure you take enough spices/arrows as he has loads of HP. To run past him make sure you're as light as possible, and if you can get the Water Veil spell it might come in handy in case you get hit.|
edit - or what quadfather said
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