Since the fire occured during takeoff leaving one engine inop, this could be more dramatic than would it had happened during cruise, for example.
On the 737, 2 fire discharge bottles are provided for each engine, and that's usually more than enough to put out the fire.
I wouldn't worry about flying with just one engine, jets are built to manage that. My biggest concerns would be if the fire has damaged any hydraulic systems, hence leaving me with limited control surface operation
