There is this notion that admissions tutors 'know what they're looking for.' But, in our family's experiences of all this, I'm not at all sure.
DC1 applied first time and was rejected. Decided to have a gap year and applied again - was accepted. Finished the tripos in 3rd place. In fact, in this subject, the top 4 students after finals (who all got starred Firsts and were achieving in the 80-90% and over in exams) were second time round applicants, having been rejected first time.
Then, when this DC got to the uni, there had been 8 accepted for the subject, but 3 of them did not make the minimum grades so did not arrive. They had over 60 to choose from applying to that college, but almost half of the ones actually selected did not get A star, A,A! They took someone from the 'adjustment' pool' (a student who made the grades and met WP criteria) and ran the course with a smaller cohort that year.
Second DC applied and got in first time and did fine, but struggled more and just scraped the 70% in finals.
Third DC who is by far the most talented and self-motivated in her subject, by any measure, did not get in and did not want to reapply. We were told in feedback it was because of 'slightly less competitive GCSEs' - ie two 7s in Maths and Physics - even though these subjects have nothing to do with English! Interviews scores were very high, but they said they take a 'holistic view.' He went to St Andrews and had an absolute blast and a year in US. St A's is now no. 1 for English these days. This DC never looked back.
I guess what I'm saying OP, is treat the process as a lottery (mostly) and if she really is set on going, maybe look at it as a potential 2 year application process because many reapply and are very successful.
If she wants to stay near home, have you looked at Bath?
Also, I can't remember the exact name of the course, but one of mine was accepted onto a joint programme between Sci Po and Colombia. The first two years would have at the Sci Po campus in Menton in Cote d'Azur! It would have been amazing. Its was kind of a broader humanities-based programme that you could tailor to your interests, but they had to do French, plus one or two other languages. Then, Years 3 and 4, when they choose their 'major' was at Colombia. They get 2 degrees, one from each uni. It's quite expensive obvs, as overseas. But just thought I'd mention this.