Re: one frame of bees
If there aren't enough bees to care for the brood, it doesn't matter which queen is in there.
If you have one or more stronger hives with capped brood, you could add frames to the hive to boost the population and get it up above 'critical mass'. If the other hives are strong enough to support such a donation (swarm prevention...don't know how far toward swarm season you are), in my opinion it would be better to do that than just eliminating it.
If you want to be successful, study successful people and do what they do.