I think this is not just because of this one dish. Their conflicts must have been backlogged for a long time. This is just a flash point.
And the male host should really control his emotions. Personal matters can be resolved outside of working hours. It is indeed too much to slam the door and walk out.
The female host may have tolerated it for a long time, but she should not speak out in the workplace and can resolve it through private communication.
As public figures, they should not bring negative emotions to the public.
I hope they can communicate well and turn hostility into friendship.