The man from Ivanhoe, in Melbourne, allegedly stormed into the centre, and doused it with petrol before trying to set paper on fire.
That’s when police allege he splashed petrol all over her before lighting matches.
Police, who say his behaviour is “unpredictable”, said he then fled.
“He has attempted to light a fire inside the premise before leaving prior to police attendance,” Senior Constable Cameron Ashworth said.
Griffith was an involuntary patient at a psychiatric ward at the Austin Hospital but absconded on Friday night.
Police said he and the victim knew each other but she wasn’t his intended target.
Instead he had an issue with the business owner of the wellness centre and it’s likely he didn’t know she was inside at the time, they said.
The alleged burglary prompted a major police operation across Melbourne’s north.
Investigators spent the day searching Darebin Parklands, at one stage breaking into an unoccupied home near the wellness centre.
Police urged Bartholomew, who is wearing a red coat, to go to a police station so he can “get the help he needs”.
Anybody who sees him should contact police immediately and not approach him.