Crazy new allegations in the lawsuit between Cinemax and the actress who claims she was forced to do nude sex scenes for one of the network’s adult TV shows — including blood spitting  — and having to answer questions like, “How big are your nipples?”

Anne Greene sued Cinemax and HBO, claiming she agreed to star in Cinemax’s sex-filled show “Femme Fatales” — but no one told her she was required to perform in sexually explicit scenes involving full nudity and simulated intercourse.

Anne did the scenes … but later sued claiming she felt bullied and sexually harassed.   She has filed new legal docs outlining her specific beefs.

The dangerous work environment allegations are wild — Greene claims the actor with whom she was doing a nude sex scene started bleeding out of his mouth during one take … and she was told to “keep going” while the he cupped her breast and continued to bleed on her nude body.

She was so freaked … she says she got STD tested afterwards.

Throughout filming, Greene says she was also subjected to inappropriate comments like, “Showing your t*ts [is] a prerequisite to even be on this show” … and “how big are your nipples?” Greene says she later quit because of the sexually hostile work environment.

Calls to Cinemax weren’t returned.