If the transcript of the call is accurate, then Wilson has misrepresented what Trump said most heinously, in a call that Kelly was on. I find it hard to have much sympathy for her in those circumstances. Why you do, I’m not sure. In that speech, she did spend much of it talking about how she did the impossible, how great she was. I can imagine how that might have been galling to Kelly and others. If she’d stopped there, as Kelly had implied, I’d say the sentiment of his statement was perfectly understandable. She did however go on to talk at length about the incident in question etc - something that Kelly had either forgotten, missed at the time, or, as you suggest, deliberately omitted.
If trump had spent the first 2 minutes in the call with the gold star family talking about how great he was for giving them a call (not exactly implausible…), would you be equally forgiving of him? I don’t think so. The situation is of course very different to you and I, but Wilson was making jokes in a setting that perhaps some people like Kelly thought entirely inappropriate.