I actually like this concept (at least the possibilities)! The logline can be a lot tighter, and as other have mentioned the name should be excluded. The 3 boyfriends element sounds extraneous the way it is written right now in the logline. So something like,
"A self-absorbed reporter lands a big talk show in New York only to discover it is actually for a small public access channel, and must..."
The comedy tone actually comes through to me. But the main storyline is not quite there yet.
The rest of the logline could be somewhat open-ended ("must re-consider her values and goals in order to succeed with her new team") or better yet something specific related to the plot- is there some big show or deadline, or maybe she has to actually save the public access channel from cancellation?
"A self-absorbed reporter lands a big New York talk show only to discover it is actually for a small public access channel, and must reconsider?her goals and ambitions to help save the channel?from going off the air." Anyway, something like that...