@Needmoresleep Your posts are always so thoughtful.
In contrast to PPs, I don’t regard Chem Eng as all that maths intensive, in relative terms and I suspect your DS would not, either. In absolute terms, compared to most nonSTEM professions, of course it is. I completely respect the statements here by practitioners who find it so. But it is nowhere as maths intensive as Mech Eng, some EE programmes, CS (in its own way), Physics or, as you say, many Economics BSc degree programmes. I have just confirmed this with my uncle, who recently retired from an endowed professorship in a highly ranked Chem Eng School.
I agree with you that data analysis is becoming incredibly important throughout STEMM, but that is largely a different thing.
I would say Chem Eng is one of the STEM disciplines for which FM is less important. Not negligible, but honestly I believe that the most important thing is that the Year cohort essentially all have FM (or be brilliant mathematicians) or that most lack it. The School can readily cope either way. I take your point that top Chem Eng Schools may use FM as an admissions filter.
My own disciplinary perspective is highly maths intensive and I am all for FM, but I usually think there is a reason pupils don’t elect it. Maximising AL results and hence university options seems to me to be the priority. Not everyone can get A’s or better in all subjects.
Of course it is always possible a pupil has not been offered good guidance. I already wondered whether that could be happening for the OP’s DD, because in my mind Cambridge and DT are not an obvious fit. I think the DD would do well to heed the data from @ErrolTheDragon - and think the DD should conside using the Support Network, if necessary, per @WarningToTheCurious ’s post - if she is really serious about C
Her choice of ALs suggested to me that C is more of a dream than an aspiration, and she would do best to concentrate on getting the best results possible. If I have that wrong, then based on my experience in Russell Group admissions may I gently suggest to the OP that she and het DD think further about AL choices?
OP, I have never been so blunt in a post before and I apologise if this hurts. But unless there are contextual circumstances I don’t see Maths, Chem and DT being taken seriously by Cambridge. For avoidance of doubt, it is a fine combination and there are many other wonderful choices for her. @TizerorFizz gave you three of them above.