There will be other posters who will come along and say that your DD should not let accommodation concerns sway uni choice but I think she is being wise to factor it in.
She and you might find this article (guest blog on website of HEPI, an education think tank) interesting:
https://www.hepi.ac.uk/2022/11/11/why-there-should-be-no-surprises-about-the-growing-student-housing-shortage/
My take is that housing shortages/high housing costs are typically occuring in three situations:
Smaller uni towns, where the number of students is high relative to the total local housing stock eg St Andrews, Durham, Exeter, Bath
Uni cities (large and smaller) in areas doing well economically, meaning there is more non-student competition for housing eg London, Guildford (U of Surrey), Bristol, Edinburgh
Where the uni/s in the city in question have not kept expansion in synch with accommodation stock eg Bristol, Durham, Edinburgh (in contrast to, say, Southampton or Lancaster)
Bear in mind that 'shortage' manifests itself in lack of property and lack of cheaper property, so someone with, say, an Exeter uni DC may tell you there is not a problem but it may be their financial situation allows their DC to access high rent housing.