A wealthy businessman who leads a double life manages to accept his homosexuality only after discovering that his son is struggling with the same conflict.

In that case, the situation makes perfect sense, but I do think that information needs to be included in the logline, as the context is important.

1987, San Francisco Area in full AIDS period

Or perhaps he is a former teen heartthrob who has millions of adoring female fans but has kept the secret of being gay solidly in the closet out of fear of losing his fans.