Front LED Bicycle Light Mount

I like the USB rechargeable front bike lights (mine from Aldi) that mounts on the handle bar with a mount and a rubber band to secure it. Unfortunately with time the light always dips from the horizontal due to wear & tear. Therefore I decided to model the mount so that it will fit at the center of my handle bar avoiding this problem. This meant modelling the socket that the light fits in at right angles to the mount. My bike is a Nitro Tempest.

The diameter of the light cylinder is 27 mm.