The victim spent five days in a high dependency unit and eight weeks in hospital.
Barlow had known the victim since high school and had continually harassed her for five years for being in a relationship with her ex-partner, sentencing notes said.
On February 16 last year, the victim went to Barlow's home after having another clash. It was the victim's intention to fight Barlow, the notes said.
Vigor-Brown said his appeal was on the grounds Judge Greg Hollister-Jones set the starting point too high.
It was his submission Barlow should be instead jailed for two years and four months.
While not dismissing the seriousness of the offending, Vigor-Brown said provocation needed to be looked at.
"Once you go looking for a fight, there is going to be trouble and it is going to end in tears."
The court heard Barlow had had a baby while in prison in February this year. She was also the mother of three other children.
Justice Whata noted Barlow was assessed as having a low risk of reoffending and this was her first serious conviction.
Justice Whata has reserved his decision.