Spanish or Latin?

Your daughter should tell her friend that in their new requirements/recommendations, med schools actually appreciate/recommend their applicants to have a working knowledge of a language spoken by an immigrant group. Spanish is a fine choice, but a bit more variety in language choice might be helpful since it might become a differentiator. (In other words, become as fluent as you can in Spanish, but since a LOT of med school applicants will have Spanish, knowing Spanish and something else - or just something else- would help you stand out. For someone who knows Spanish, obvious choices would be French for Creole French, as well as Portuguese.)
In that context, Latin is of no use whatsoever.
Languages that can count include Urdu, Korean, Chinese, Arabic, French Creole, Russian, Hmong, Portuguese, Somali…
An issue is that few universities teach some of these, so a good way to handle this is either
1° pick a language the university offers to the advanced level or 5th/6th semester (French, Spanish, Chinese, Portuguese, Arabic) and volunteer at a clinic where immigrants use that language (for French Creole, you’ll need to find some private study because the languages are close cousins so that one can recognize one if one knows the other, but to be fluent practice/study is important - the sounds are different as well as common expressions, such as “mwéla” =“moi là” = je suis là, “Kreyol ayisyen” = “créole haïtien”, pronounced “kreol ayisyen”; for Chinese, you’ll need to progress very quickly over 2 years so that your language gets to a point where you can use it because it’s a very difficult language. Same thing for Arabic. French, Spanish, and Portuguese are the languages that are easiest to learn for an English speaker, with the caveat explained above for French-to-Creole.) If there’s enough demand, one can imagine premeds at a large university may be able to request “Spanish for the health professions” or in other languages that many premeds take (French seems to be another one, so French Creole?)
2° Take an intensive summer course such as Middlebury’s or Penn State’s in a language not offered at your school, reach intermediate fluency over the summer, and then join community groups to practice in the area where you go to college, until you reach enough fluency to volunteer in a clinical setting. OR take such classes entirely in community education settings, asking for volunteering opportunities.

http://www.outreach.psu.edu/language-institute/
http://www.middlebury.edu/ls