I would not worry about this area very much. My wife and I live about three blocks from the church and are rarely uncomfortable walking around just about anywhere in West End. Of course we are usually in bed by midnight (our daughter is 27
) so we aren't out and about in the wee hours very often. I do have an early am walk every day between 5:45 and 7 or so and there are always joggers/walkers around.
Your daughter would be pretty close to the various "hot spots" in DTWS but walking to the Arts District (Trade St area) would be several blocks and the 4th St restaurant/bars are only a little closer. There are several places on Burke St that would be closer but if she's going to be living downtown I can only assume she will want to take advantage of everything we have to offer.
There are always going to be some areas that feel safer than others but West End definitely puts off a "safe" vibe. Good luck with the search!