How do I replace a broken halogen bulb in the recessed light in my bathroom?
I think you will find that the bezel (the outer chrome trim ring) is attached to the locking mounting rods.(the coiled wire on outside of fixture)  You may need to open those rods, pull them up to 90degrees or more to the fixture and push them into the fixture body and the bezel will drop as the rods go in. It may also be connected to the bulb socket as well.