I got hurt and broke my wrist because of my landlord neglience. He left a pipe that was out 6inch of the ground. And i trip over it. So i got a lawyer and Im now in the process of suing him/ Insurance Company. for premise liablity. Will the insurance company settle quick? If so why or why not?

No, it will not settle quickly. Just sit back and expect it to take up to 3 years with an attorney. If you were to go to the insurance company yourself and settle, they would do it immediately.