Her children. She's indicating care required as her residence is Florida and she is being ordered to appear in New York.
However an update to this, which should surprise nobody, is that the Court thought about her argument for fifteen seconds and replied, "Hell Fucking NO". Like that's how ridiculous her request was. It got same day response from a high court because it was just so easy to deny.
Usually there needs to be a really good reason for seeking a continuance (postponement of something that has a deadline). Having trouble finding daycare arrangements for your children is pretty fucking far from what usually rises to requiring emergency continuance. By like........A LOT.
Of course this came after her motion to quash her subpoena was also roundly told to fucking pound sand. She is absolutely doing her best to stall and basically the court is clearly having none of her fucking shit.