"It would have been the end of the world if I didn't get through," ESPN quotes the 21-year-old as saying. "I'm very happy that I am through but this is where it starts. I've just got over that first hurdle and there's a long way to go yet."
"It was a very tricky match," Watson added. "She's not your usual WTA player. She slices a lot, she's got good hands, good touch, she's not the overpowering type.
"I was prepared for it but I was torn between, 'Do I go for it, or do I make her play?' I was finding it difficult to find the balance but I held my nerve at the end - at the very end. I got a bit nervous closing it out but it's last round of qualifying; there's a lot on that match."
The Australian Open gets underway on Monday.