Of her own volition? Definately not, she isn't stupid and she'd probably do just fine but to her universities are another form of 'the man, man'. 
Well, she'd probably be well known in general. She is an independant buisness owner in a central part of the town, and is a bit hard not to notice in general (hair, piercings, tattoos, etc.) On the other hand, unless Sebastian is a regular customer, Adelaide probably isn't even aware he exists. 
As for being known as a witch by the community. She's living under an assumed name, and her family is shunned by the society to begin with. She is likely to be flying under the radar completely on the magic front... she'd actually never intended to emerge in the first place.