Ok I'll explain the university, teaching, working thing. Trust me it's not complicated but probably hard to understand from a foreign point of view.
Olivia is doing a teaching degree at university. This is a four year degree.
You can't start teaching until you've graduated with a degree.
While studying she would have had a part time job like working in a bar,
or a shop, torturing people, cutting up bridesmaids dresses etc. This wouldn't have anything to do with teaching as of course she can't do that yet. Working part time while studying is normal especially when you have uni fees, rent, etc to pay for. Whatever job she had this was most likely the one she lost.
Someone up thread said she could have been offered a job on graduation and then had it redrawn. The only type of this kind of thing is a targeted teaching program where high quality gifted graduates are offered extra money to teach in hard to place areas - low socioeconomic, rural, remote, high refugee/migrant/non English speaking areas, areas with a high Indigenous population etc. I can't in a trillion years imagine someone like Olivia being offered something like this. So I don't think she'd be a part of this program.
Of course there is the possibility that the university spoke to her and suggested that teaching may not be the career for her (understatement!)
Hope that makes things a bit clearer.