What is the conversion status of a woman who converts to Judaism to marry a Kohen? Status of kids?
Answer:
It is not possible to answer without knowing more details. However, assuming that her conversion is valid (which is certainly possible), her kids will be Jews, though not Kohanim.
Best wishes.
Sources:
Assuming that the conversion process was done properly, it is hard to invalidate a conversion retroactively because of the point raised in the question. It is possible that she was not aware that this is a prohibition, was not aware of the severity of the prohibition, and so on, so that it is hard to imagine that the conversion will be “annulled.” However, this depends on circumstances.