I've never watched this programme so are not familiar with Susanna Reid and her interview style but I'm watching the interview on youtube.
I really can't see the issue OP.
She's interviewing him. She needs to set the pace and the agenda.
She's asking question and allowing him to answer.
She has a limited amount of time, she needs to get her points and questions in and if she sits there like a nice, polite, good little girl listening to him waffle on about 'we've done this and we've done that', she'll never get anywhere; she's currently, as I listen, trying to get him off the subject of all the 'wonderful' things he did during the pandemic.
Rude? Is it because she's a woman?
Have you never seen men like Paxman interview politicians?
She isn't being rude, she's asking question and she wants sensible answers.
She knows who she's dealing with and she's interviewing accordingly.
She's absolutely fine. Actually, I think she's done a bloody good job.