Riverstone MP Kevin Conolly later said he had also been left in an"untenable position"by the bill.
The abortion bill will be debated in the upper house on September 17 but several MPs and ministers want the draft legislation to be significantly amended,including banning gender selection.
Speaking at the Cathedral Conversations event at St John's Anglican Cathedral in Parramatta,Mrs Davies said she was outraged at the speed in which the bill was introduced and warned that there was widespread anger across NSW.
In confirming for the first time her intention to move to the crossbench,Mrs Davies said there was"only one thing politicians pay attention to and that is numbers".
"To win preselection,you need 50 plus 1,to win an election you need 50 plus 1,if you want to win government you need 50 plus 1,at the moment we hold government by 50 plus two,"she said.
"I am one of those two,and there is another colleague of mine,who have told the Premier and the Deputy Premier[John Barilaro] that if they do not make essential amendments to this bill,we will remove ourselves from the party room.