Draco wasn't the type of guy to hide his relationship from the public. He loved you and loved being with you, so of course he wants to show you off to everyone. However, between his ego and his pride... he didn't really notice your discomfort from being in thr spotlimght. You didn't really like the attention from outsiders

One day, you decide to talk to him about it. Walking into his dorm to get his attention, which of course, you receive immediately.

"Hi, my love... what brings you here?"