@SincererLove No, I comment on a lot of boards with regards to STEM and highered and went to Emory as a STEM major.he made a reasonable (actually great choice) choice (MIT full pay? Pass. As amazing and rigorous as MIT is for STEM, full pay at an elite or really any OOS or private institution is a big “ouch!” no matter which one it is).
Also, remember that pre-med is really just a set of requirements that has of course evolved into something crazier lol. Outside of those (including the shadowing and stuff) she can explore whatever. Compared to engineering pre-health requirements are relatively “basic” (especially in comparison to what a lot engineering and pre-graduate STEM students at elite schools do) and honestly if she is doing well in her engineering major and whatever pre-med pre-reqs, she could honestly decide that pre-health is right for her later in her career at VU and go through the process, but if she is so talented, I fear what the primary academic identifier as “pre-med”(it is a loaded label that comes with an interesting community and a different set of pressures) may do to her willingness to take some risks and avoid peer pressure that says not to. She can likely do whatever she wants pre-health or not. I have actually seen a lot of folks who were not STEM majors who were kind of keeping pre-med “open” took many of the pre-health pre-reqs and some really good upper division biology and chemistry courses and then maybe like late sophomore year decided they would commit to it (as opposed to "I feel like I must do these courses and MUST make an A grade…they had other plans initially). It was kind of nice for them because they didn’t have that label or tag sort of influencing their decisions at the start of college. They just did whatever they liked and sprinkled in some pre-med. They ended up at Duke for medical school. Your daughter can have fun there and also be a “nerd” (you say she liked things like math, what if, after she takes some more math courses, she does Putnam competition there? She can indulge all sides of her talents and personality) if she wants, while also completing some of the pre-health requirements.
I just get a little worried about very talented students in STEM or otherwise claiming or identifying themselves with a “need perfection” pre-professional track early on. I have seen where in some cases these super talented people basically sell themselves a little short on what they wanted to accomplish academically, intellectually, w/e because they felt they would not fit in (as in: “I don’t see too many people with this label taking this sort of course or doing this sort of EC or co-curricular, so maybe I should just do what most of them do”), was taking too big a risk and many other things.
I like this video and how this guy kind of calls the process out (also apparently he admits that there is no easy solution and that he is just blowing the whistle): https://www.youtube.com/watch?v=LCfALR_AxLc
A very interesting brilliant dude who made his way to medical school after doing such cool things in more hardcore sciences. And had cool experiences after his training…and he is right about biomedicine. As a person trying to desperately finish a masters thesis in biophysical chemistry, I wish I would have exposed myself to a more math based curriculum in biology (I majored in chem and biol) as a UG lol (I only took a physical biology course). I would imagine a “nerd” considering medicine would appreciate a more interdisciplinary training whether it is through coursework or experiences in one or several departments. It would be illuminating if more exposed themselves to this type of training (Hell Harvard Med now has a program targeting students who had and want more of that training as an MD. If your daughter ends up going that route, perhaps she will have a chance to see MIT again through that program which is a collaboration between the 2 via the HST program: https://hms.harvard.edu/departments/admissions/applying/requirements-admission 
)
Make sure that your daughter “lets herself be even greater” in whatever. Avoid letting labels brand her or tie her down. Trust me, no one likes to admit, but it sometimes can.
(A student I tutored in organic chemistry this past year used to constantly say “let me be great”…and he did really well)
I expect to see true greatness from your daughter and similar students in the near future in whatever they pursue 