Those that pay make the rules..
Though I would pay dearly for it.
Don't do this unless you are comfortable irreparably damaging your relationship with your daughter.
Let me clear. I am 100% sympathetic on safety concerns. But, your daughter is an adult, who gets to make her own safety decisions.
Could you perhaps coerce her by using the money card. Yes? Is it wise?
Sometimes maybe. When my son was 18 or 19, I did make a lot of rules. Now, that he is 23 and in graduate school it isn't my call. In his case, he is paying for grad school himself but I wouldn't coerce him with money.
I did tend to be overprotective on safety stuff. Well, DS thought I was. I thought I was prudent. And, yes, I did coerce him at times based upon money.
But -- there came a time when he told me that I was on the verge of permanently damaging our relationship. I had to pull back. It has been difficult.
DS recently informed me that he was going on a trip over the winter break with friends where they will be driving in mountains with likely snow and ice. None of them have experience with it. I am terrified by it. I don't want him to go.
But, I've recognized that this is my problem. I did talk to him as did his Dad about some safety precautions he can take. He says he will take some of them. He says he will be careful. My concern is more the lack of experience than the being careful.
But -- here's the thing. He is over 21. He knows the risk and it is his risk to take. If I try to nag him about it or tried to coerce him (I could probably do it by offering him some monetary benefits that I wouldn't otherwise offer) I might get him to cancel the trip. But, I would hurt our relationship and it would be my fault.
If you try to make your daughter change schools because of your concerns then you could ruin your relationship with her. And, it would be your fault. If she wanted to switch schools that would be one thing.
I think that insisting she take the training is something that is a bit more reasonable to do. But, in the end, it is her life to make good or bad decisions. (And, yes, I know bad stuff can happen).