The owner of an inner Sydney beauty clinic has died days after a botched procedure left her in a critical condition.

Jean Huang, 35, was rushed to Royal Prince Alfred Hospital on Wednesday after she went into cardiac arrest at The Medi Beauty clinic in Chippendale.

Police said she died in hospital on Friday.

On Thursday, a police document tendered to Central Local Court alleged Jie Shao used the wrong dosage of anaesthetic during a procedure to put fillers into Ms Huang's breasts.