Here's where I respectfully disagree.
The camera is always focused on the coach. We never see the reporters coming in and out. Having been to many of those press conferences, I can absolutely say that reporters are frequently coming in/out during the entire event, and I have rarely, if ever, seen a coach call out the media in such a way. It would be different if a reporter was being loud and disruptive in her late arrival, which does not appear to be what Kelly was talking about in his comments.
Also, though Kelly can claim he was joking, and his comments about "having a big party at his house at the end of the year" seem hillllllarious, his demeanor was serious, and his actions are the hallmark of a bully who is used to calling people out to humilate them. He's talking about fining people for being late (which is bullcrap, because he coaches in the NCAA, not the NFL).
While I'm not a huge fan of sports writers and would never give a blanket defense of them, I've observed enough to know they have deadlines and are trying to talk to as many sources (players and coaches) as possible, and so "being a few seconds late to a press conference" is pretty standard and tame stuff, much more of an occupational hazard than some intentional disrespect shown to an oversensitive corch.
Did the reporter get off a zinger? Sure. But this is 98% on Kelly. He started it, and he pretty much got what he deserved in that situation.