Yeah, that’s a sexual term that some who are interested in D/S (dominance and submission) use - note that this term has counterparts in the straight D/S scene. Nothing related to the OP, really. If there is any gay equivalent to “pussy-whipped”, I’ve never heard it.
You must be spending a lot of time in Christian, mixed, and genteel company. The ‘pussy’ is often dropped because it’s a not-so-pleasant moniker of the female genitalia. In locker room parlance and on premium channel cable TV, it is not dropped.