Are you an international student?
Hah
Sorry I cannot give some decent advice for your concern.
Do you know who in your program receive the offer from LSE Fin PhD? I am on the waiting list and I wonder whether they would give them up.
BTW, how do you think about your program? My supervisor suggest me if I am not admitted by PhD program this year, I should go to your program to get a stronger background.
Is that hard to get distinction?