Nelson is facing three charges of wounding with intent to cause grievous bodily harm and one charge of wilful damage.
The charges stem from the 8.35pm incident in which two workers and a customer suffered stab wounds.
One of the victims is Nelson's ex-partner.
Court documents allege Nelson entered the restaurant through a rear door and stabbed a man and woman who were working in the kitchen.
A customer who tried to intervene also suffered knife wounds, the police summary said.
Nelson was charged with wilful damage after she allegedly walked out of the restaurant and threw a chair at the front windows, smashing them.
Nelson has not entered a plea yet. She is due back in court next week.