Dale Palmer was more than three times over the legal drink-driving limit when she trapped her 27-year-old daughter beneath a Toyota Starlet in the early hours of Sunday morning on May 2, police say.

Emergency services took more than an hour to free Keely Palmer at Ash Avenue in Caringbah South, and an AVO was subsequently taken out on her behalf.

Her 58-year-old mother was granted bail and appeared before Sutherland Local Court on Wednesday charged with high-range drink driving and aggravated dangerous driving occasioning grievous bodily harm.

Magistrate Joy Boulos adjourned the case for six weeks after the prosecution said further charges could "potentially" be made.

"Keely Palmer is in need of protection," Ms Boulos told Ms Palmer.

The magistrate said it was important she did not breach any of the AVO conditions which included not to assault or threaten her daughter, stalk or intimidate her or recklessly destroy her property.

Palmer is also not allowed to approach Keely Palmer or be in her company for at least 12 hours after consuming any alcohol.

The 27-year-old was taken to St George Hospital after she was freed from the car about 2am on Sunday in a serious condition with significant injuries to her right leg and right arm, police say.

Palmer's matter is next due in court on June 16 but she has been excused from appearing if represented by a lawyer.

Australian Associated Press