I agree, hold the panic. My DD will also be applying next year. She will present a different profile. She is dyslexic and though her grades should be good enough, they won't be starry. However she has a lot of genunine Extra Curricular and non-academic school achievement, and feedback from teachers etc is that personality wise they think she would make a good doctor. My hope is that there is room for diversity in medicine. DD is wanting a practical, patient facing, career. She does not plan to take BMAT as she is not interested in a longer more academic course. She simply wants to get the training and start work, at the moment thinking on the lines of GP, surgeon or trauma.
I too am fretting. There are so many hurdles and she wants this so much.
My thinking, though obviously not proven, is that you need to play to your stengths. When DD gets her UKCAT and AS results she plans to go through the options carefully. Different medical schoools filter on different criteria. My guess is that a number of courses will rule themselves out naturally. DD is relaxed about simply applying to those that are most likely to take her, and if she has more than 4 on her list she will look in more detail at the course and which is most suitable for someone with dyslexia. Given your DDs academic strengths, and assuming she will want a more academic career, she may be better off focussing on more research orientated schools, and perhaps will have more scope to consider what course suits her best. There is a huge amount of material on Student Room. Our experience is that people involved in medicine are more than happy to share their views. (The dentist simply said "don't"!)
Her school says to treat it as a two year application process. Every year some very strong candidates wont get places. So to focus on AS and UKCAT this summer so you are applying with the best possble grades and then if she does not get a place spend a gap year doing something constructive and reapply.
And to answer your question. I don't think not having French will matter, as she is likely to be applying for very academic courses where they are mainly looking for straight intellectual horsepower. So high UMS scores and high BMAT.