Judge Ruth noted Mathie also had a 2010 drink driving conviction, with a reading of 1603 micrograms.
"You are an alcoholic. You are a danger on the road and you need to be kept off the road for as long as legitimately possible," he told her.
He rejected her explanation to police she had drunk just two glasses of wine that day.
"That's nonsense. What were they - buckets? You don't get this drunk on two glasses of wine," he said.
"How you were able to stand let alone be able to drive a motor vehicle is beyond my comprehension. You had no right to be anywhere near a motor vehicle."
Mathie's lawyer, Brian Foote, said his client could not explain why she had driven and had little recollection of events.
He said she had drunk "a lot" with friends the night before and had been to a champagne breakfast that morning.
She was extremely remorseful and had offered to make $5000 reparation, he said.
"This event has rocked her to her core," he said. "She is a professional person used to giving health and wellness to people, not [causing] massive injury."
In sentencing, Judge Ruth said Mathie had avoided a prison sentence by a "relatively fine margin".
As well as the home detention and reparation he disqualified Mathie from driving indefinitely and ordered she hold a zero alcohol licence for three years if disqualification was lifted. He also ordered Mathie not to have an interest in any car for the next 12 months - her vehicle was written off in the crash. Her home detention conditions included not to consume alcohol or drugs and to undertake an alcohol and drug programme.