[doug reed]

Will a hive accept a queencell from another hive if they have swarm cells of their own?

 

[Ryan Williamson]

Yes if you cut out the swarm cells first. When given a choice they often pick their own.

 

[Beregondo]

The first queen to emerge usually will seek out the other cells and any other virgins emerging to destroy them, regardless of their origin.
The bees will usually accept whichever virgin survives regardless of origin, though some strains (Russians) are a bit picky.