The last posts brought some clarity to the situation. To be honest, hearing the teaching situation, I would be very, very careful about the level of teaching she is getting, a master’s student in instrumental music may be a great player, but that doesn’t mean they have learned to teach what is required. Obviously I don’t know the school you are talking about (and it should not be disclosed publicly), but does her current teacher even know what is out there? Does he interact with teachers at other schools and know what the level of their student is like? I worry about that, and what level your D really is at, to be blunt (and again, keep in mind I am talking from my own background and what I have seen and heard, I would be saying this about anyone studying with a grad student, in part because my S is now one, and even at the level of playing he is at, the programs he has been through and will attend, I think he would doubt he could teach effectively yet). Basically getting into a decent BM program is going to rely on how well the teacher prepares the student for the auditions, and in the teaching in some part knowing what is required, understanding the often subtle things that make a difference. On violin I have seen supposedly high level teachers who think because these little prodigies are running around playing Tchaikovsky or puke the Beethoven concerto when they are 11 and 12 the key to success if accelerating their students to the high level concertos as soon as possible, and it is a disaster for a number of reasons IMO.
One thing I would highly recommend is see if one of the professors at the school would be willing to do an evaluation on your D (you would likely have to pay for this, but it is worth it), to see where she is in terms of her progression, what her weak points are, what her strongs points are, and see what they think. These are the people who determine admissions, and you will know how effectively (or not) her current teacher has been, they likely will know what is required at their and other programs and give an idea of where she stands. If they come back and say she is on track, she is where they would expect, then you know that her current teacher is preparing her well and know she has a chance if she decides to audition for a BM program. On the other hand, if the teacher points out issues, especially with fundamental technical issues (like on violin, Intonation, which can be a killer on auditions), then you may need to reevaluate who is teaching her. One of the things reading the posts on here that concerns me is it sounds like your D’s current teacher may have tracked into this one program and from reading the post, it sounds like he didn’t even go through the audition process (?), and that could lead him/her to think they are teaching correctly and may not be.
The other valuable thing you daughter can do is when at the other programs, listen to the recitals and playing of the other kids and judge herself against them. I am not talking the outlier, the kid who has artists management or is at some top level prep program or whatnot, I am talking against the top level of students there (reason I say that is depending on the program, the level of playing may be wider at some programs; at a place like Meadowmount or Aspen the playing level is very, very high, a music festival at another place may have a wide range of students). If she listens to the top level of kids, she likely will be able to get an idea of where she stands with things.
One of the values of summer programs, or where she is planning to work with the professors in the current program, is that that exposure is valuable, it is where teachers meet prospective students and where teacher and student see if they can work together. More importantly, while kids audition ‘cold’ all the time, and get into programs and studios, it is a lot easier if the teacher already has been exposed to the kid and liked them. My S auditioned at Juilliard for grad school to get into the studio of a very tough teacher, and got in I suspect in part because they had seen my son previously coaching a chamber program he was in). On the other hand, at the school he is going to, he hadn’t seen the teacher before but did a sample lesson with him, and I think that helped a great deal with the outcome, a 10 minute audition doesn’t give that complete a view of a student, so any doubts get magnified I suspect, but if they have seen the kid outside an audition (among other things, without the nerves of audition), they have a better picture.
Again, please don’t take what I am saying as a knock on her current teacher , or how she is learning, these are just based on my experiences with my son and my exposure (in his case with the violin) to what goes on and trying to suggest ways to get a clearer picture to what to be honest is a very, very murky kind of thing, getting into BM programs, it is so subjective, so beholden in some ways to chance, that it makes getting into an Elite academic program look easy in some ways. My take on this has grown over the years, and that is in a murky process like this, any glimmers of clarity you can get or edges you can get help a great deal, what is the old expression, in the land of the blind the one eyed man is king…smile