Bree Olson -- one half of Charlie Sheen's goddesses -- will get the chance to prove she wasn't driving drunk in Indiana last month ... but she'll only have two days to do it.

TMZ has learned Olson -- real name Rachel Oberlin -- appeared in a Fort Wayne courtroom today and requested a 2-day trial to battle misdemeanor drunk driving charges.

As TMZ first reported, Olson was busted on Feb. 3 after allegedly crashing her Lexus ... and then blowing a .19 when cops arrived on scene -- more than twice the legal limit.

Olson's trial is scheduled for June 8 and 9.

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