Mary Murphy -- Blows off Lawsuit ... Pays $200k Price

"So You Think You Can Dance" judge Mary Murphy just took a COSTLY trouncing in court at the hands of her ex-manager -- the one who called her a "cocaine-fueled nymphomaniac" ... TMZ has learned.

We broke the story ... Murphy was at WAR with her former manager Michael Sanchez ... who claimed he not only helped Murphy get the SYTYCD gig, but worked like a dog trying to protect her image ... while she got coked up and banged a SYTYCD producer.

Sanchez says Mary fired him and then stiffed him on commissions ... and he demanded more than $1 mil in damages.

But Mary never filed an official response to Sanchez's complaint ... so the the judge in the case issued a default judgment against Murphy -- awarding Sanchez $205,160 ... plus 10% of any future earnings Murphy rakes in from SYTYCD.

Sources close to Mary maintain Sanchez's accusations are totally false.