A woman accused of murdering her two-year-old daughter has appeared at a Sydney court via video link.

The 27-year-old mother did not apply for bail, and it was formally refused, at Penrith Local Court on Wednesday.

She was charged with murder after the body of her toddler was discovered by emergency services at a home in Miller just after midday on Tuesday.

Police say the girl was murdered some time between 6am on Saturday and 12.30pm Tuesday, according to court documents.

The mother was charged at Katoomba, in the Blue Mountains, on Tuesday night.

A male supporter covered his face and ran to his car to avoid the media after the woman’s court appearance.

The case was adjourned to Campbelltown Local Court on November 9.