How far 'East' are we saying? Inner- East London (like near Shoreditch) or further out?
Most of the central London universities like King's College are easy to get to from most of East London.
The only universities I can find in East London (zone 3 and onwards) would be the University of East London and Anglia Ruskin University (East India Building). Although, only the University of East London offers nursing degrees.
I know very little of the university and have never heard of it until today lol- but based on it's ranking, it seems to be one of the worst in the country. Even on the league tables for Nursing- it's one of the lowest ranked university. It's important to take the rankings from the league tables with a grain of salt- butttt if they all say the the university is a bit crap, it likely will be.
If you're simply looking for a degree from London and an accreddited Nursing course, it's okay and go for it I guess.
But I suggest not to expect much else and 100% expect to be f*cked over in one way or another by UEL- since even largest and most acclaimed academic institutions in the UK will try to f*ck you over here and there.