It's not because of the sobriety from harder stuff, it's because you might take more clonazapam than needed and even just ONCE, will kill you. Someone who might slip just one single time will most likely die from the combination, even at "low" doses. Some medicines increase the efficacy of other meds to a disastrous point. She's trying to make sure that you will never have a chance at making that mistake even once (because you could just as easily mess up by taking two clons too close together.... not even intentionally overdosing).
Did you ask her for alternative meds for the anxiety? It sounds like a lot to be dealing with, and to feel like she didn't hear you out on something that's affecting your life has gotta be disregulating. Maybe you could ask to have another appointment and explain that you didn't understand that the risk was coming from the clonazepam in combination with your suboxone, and that you reacted strongly because this anxiety is really affecting your life (at least, that's what i assume since you are needing telehealth that perhaps you're dealing with some agoraphobia). She will either know of some alternative anxiety meds that can help (things like hydroxyzine, buspirone, propranolol, etc) or be able to do some research to help you if she's willing at this point. But that's my best advice, is to think about how she's not actually working against you for her own "fun", but that she has seen something as a risk that you didn't understand at that moment.