the HID's i bought from Protephile...i guess had the little adaptor that you showed pictures of.....only thing is....to get the little clip to fit around the Bulb and be able to have it latch around the little gold latch...i had to lossen the screw that holds the gold latch onto the bulb housing, so it gave more play while it was lossened, i could get the clip to be latched....then just tightened the screw back down a little bit.
honestly.....its more of a headache it you put the bulb on with the headlights attached to the car....i recently swapped out my headlights with black housing lights....and with the headlights off the car...it was so much easier to put the bulbs in, then trying to do it with the headlights on the car