Harvey Weinstein got what he wanted in his ongoing sex crime cases -- a judge has allowed him to go public with emails he got from his rape accuser ... emails that he says show the woman was anything but a rape victim -- even professing love for him -- and as a result he wants all criminal charges dismissed.

The emails -- just filed in the criminal case and obtained by TMZ -- were written between April 2013 and February 2017 by the woman who claims she was raped by Weinstein on March 18, 2013 in NYC.

One of the emails -- written April 11, 2013 -- says, "I was able to talk to [redacted] today and will be connected with [redacted]. :) Thanks, and I hope to see you sooner thank (sic) later ..."

On April 17, the email reads, "It would be great to see you again, and catch up!"

Another email on Sept. 11, 2013 says ... "Miss you big guy."

In January 2014, she wrote, "Your the one who makes it look good with your smile and beautiful eyes!!"

And, on July 10, 2014, she emailed, "There's no one else I would enjoy catching up with that understands me quite like you."

And then there's this on Feburary 8, 2017 ... "I love you, always do. But I hate feeling like a booty call. :)."

Throughout the email chain over the years, they go back and forth talking about meeting up. At one point, she asks for a Soho House membership referral ... she wanted to be a member and use him to get in.

The emails were attached to a motion to have the rape indictment dismissed based on prosecutorial misconduct, because the emails were allegedly withheld from the Grand Jury and would prove exculpatory.

Weinstein says the alleged misconduct is so egregious, it taints the entire indictment involving all 3 accusers and he is asking the judge to dismiss all criminal charges.