I was bleeding my brakes, and snapped the front bleeder screw in half while trying to loosen it.

The good news is that no brake fluid came out, and what is left of the screw is still holding strong.

I am going to get some bolt extractors and get the broken screw out, but is there anyway to cut off the brake fluid to the area while I am working? I don't want the fluid pouring out while I am trying to install the new screw.