He lay down, offered to perform a sex act on her and told her they could have a relationship, Ms E told the tribunal.
While Dr Y denied the incident at the woman's work, he admitted to the tribunal that he made inappropriate sexual gestures while treating her.
Dr Y was fined $25,000 and censured by the Health Practitioners Disciplinary Tribunal.
He is also required to have a chaperone when seeing female patients.
His lawyer, Harry Waalkens, told Judge Simon France at Wellington's High Court today that Dr Y was a man who was highly competent and well respected.
"He is very well thought of and this behaviour or conduct is very out of character for him," Mr Waalkens said.
Mr Waalkens explained to Judge France that Dr Y had suffered from depression and anxiety in the past, and was concerned the publicity that came alongside being named may cause negative set backs.
Dr Y's wife's name is also suppressed, and Mr Waalkens argued that by lifting Dr Y's name suppression it would also expose her to risk.
Dr Y was honest with his patients, he said. He could not see female patients without a chaperone, and if patients asked why, he was obliged to explain, Mr Waalkens told the judge.
Lawyer for Director of Proceedings Aaron Martin said the evidence before the court was not sufficient to weigh against the ordinary approach to name suppression, and it was instead a matter of patient safety.
Judge France has reserved his decision.