I was my mom's primary care and I was living with her until she died, can the executor throw me out before probate?

if it was mom's house, in her name, and you are not an heir of hers in her will, or by intestate law, then you have no rights to the home. The executor will treat the home as estate property and if it necessary to sell it, the estate must sell it. You should consult with a lawyer in person who can look at the paperwork and maybe look up the estate on line or at the court to fully inform you of your options.