Sources close to the exes tell TMZ, Teyana is incredibly disappointed and frustrated with Iman -- her husband of 7 years -- for deciding to make their identities public in a recent court filing in their divorce case.

Teyana had sought to not only protect their kids from this mess, but Iman as well ... which is why she initially filed divorce docs, back in January, using just their initials. The divorce was proceeding in private, but after his latest legal move, that privacy's completely out the window.

Teyana's attorney, Tanya Mitchell, echoed this sentiment, writing in a legal doc, "We were able to keep this divorce matter private as Ms. Taylor requested for eleven (11) months in this case prior to Mr. Shumpert's MOTION revealing the parties' legal names and making the private matter public."

She continued, "This matter would very likely still be private if Mr. Shumpert's MOTION TO SUBSTITUTE TRUE LEGAL NAMES AS REAL PARTIES IN INTEREST was not filed ..."

Our sources say Teyana and Iman are NOT living under the same roof -- though Teyana made it seem like they were on good terms in September, when she announced their separation.

In fact, we're told communication between Teyana and Iman is minimal ... and they only chat if it has to do with their 2 children. Basically, things ain't so rosy at the moment.

TMZ broke the story ... Teyana accused Iman of being a jealous spouse, with him allegedly being annoyed and aggravated with her burgeoning career, including on the acting front -- among lots of other messy allegations.