If you want to inform yourself on this matter, you're welcome to just open the books. It's not even much reading to be done at all. Based on some of the things you are saying, I highly recommend it. There's some good stuff in these sections that are often overlooked.
The rules on ability checks requires there to be an uncertain outcome or else there is no check. The rules also state that the player determines how their characters think, act, and talk (the definition of roleplaying). Since the player is the one who determines this, whatever they determine as their response to the attempt at Intimidation is the outcome, thus it is not uncertain. No uncertainty, no roll. DM describes the attempt, the player describes the response, if any.
Oh, so you did read it? Great. Perhaps you can understand that listing every single thing a DM or player can't do isn't very practical. But the rules can and do describe what each role is and it very clearly defines that the player is the one who describe what the character does, determining what the character thinks, says, and how they act.
Lots of DMs describe what the characters do, and lots of players are happy to let them. That is, until the DM describes something the player doesn't agree with, and now we have a problem. A problem that can be avoided totally by each person performing their own role to the best of their own ability.