Should it be written: "She won't be an architect if she doesn't go to university"?
Is it the second conditional?if she didn't go to university
I think you'll find that those corrections are closer to the numbered conditionals. Somehow that sentence (the concept) doesn't fit well with numbered condtionals."She won't/can't be an architect if she doesn't go to university"─ the first conditional which refers to the present. (future)
"She wouldn't/couldn't be an architect if she didn't go to university"─ the second conditional which refers to the present.
"She wouldn't/couldn't have been an architect if she hadn't gone to university"─ the third conditional which refers to the past.
In terms of conditional sentences, is it wrong?"She isn't an architect if she didn't go to university"