EXCLUSIVE

The woman who claims NHL star Evander Kane stiffed her out of $3 MIL for aborting his child was ordered to reveal her real name in court in order to proceed with the case ... so she's decided to unmask herself.

An L.A. County Superior Court judge ruled Hope Parker -- who had previously used the alias "Jane Doe" in her lawsuit against Kane -- cannot use the alias moving forward.

"There is no clear California law allowing her to remain anonymous," the judge said in a ruling.

But, instead of dropping the case and keeping her identity secret, Parker has filed new documents using her real name ... sending the message that she's not backing down.

As we previously reported, Parker claims she had been dating Kane on-and-off from 2015 to 2018 ... and says she had two abortions during that time.

But, Parker says when she got pregnant for a THIRD time with the San Jose Sharks forward ... she did NOT want to abort it -- until he offered her $3 million.

She claims she went through with the procedure ... but when but Kane never ponied up the cash -- she sued, seeking over $6 MILLION in her lawsuit.

Kane filed legal docs of his own back in 2018 essentially saying that since he's not accused of committing a crime, the accuser should not be able to hide behind an alias.

The strategy was pretty clear -- if the judge forced her to reveal her name, Kane believed she would be more likely to drop the suit out of fear of embarrassment.

But, that's not the case ... Parker is actively working to amend her lawsuit to add her real name, according to court docs.