We all ponder on her statement, but it's my beautiful tantrum thrower who speaks up once again. "Hmm… Wizard is one of the few placeholder classes like Warrior, which means it's supposed to let its holders experiment before forcing them to choose a path. However, all Wizards are supposed to be people who ingested the elixir as young kids.
If we assume that the potion somehow analyzed your personality, ideal fighting style, and future prospects it isn't impossible that it forcibly skipped the experimenting phase and instead chose the one that fit you the most. It most likely understood that you are a selfless person who doesn't care about fame and instead wishes to elevate those that you care about, or something along these lines, hence you became an enchanter, also known as a supporter or buffer.