The song became a major hit for Burgess as well, but reached a lower position on the Billboard country chart than Seely's.

[2] At the same time, Jeannie Seely had just moved from California to Nashville, Tennessee, to pursue a music career.

An additional track was cut during Seely's first recording appointment called "You Tied Tin Cans to My Heart".

[3] In 1967, Seely's original version of "Don't Touch Me" won the Best Female Country Vocal Performance accolade at the Grammy Awards.

[11] In 2003, Mary Bufwack and Robert K. Oermann called Seely's version "a throbbing song of unfulfilled passions".

[3] In 2005, the Seely's version was featured in David Cantwell and Bill Friskics-Warren's book, Heartaches By the Number: Country Music's 500 Greatest Singles.

"[9] In 2019, The Boot ranked it among their "Top 5 Jeannie Seely Songs" for it being able to prove that "women can sing about sex too.

Among its first covers was by Tammy Wynette in 1967, whose version appeared on her debut studio album Your Good Girl's Gonna Go Bad.

[18] In 1969, American R&B artist Bettye Swann released a version of the song as a single on Capitol Records.

[20] In 1994, country artist Lorrie Morgan recorded a version of the song for her studio album War Paint.

[22] Among the notable covers of "Don't Touch Me" was a 1966 version recorded by American country artist Wilma Burgess.

In 2003, Mary Bufwack and Robert K. Oermann described her voice on the track (along with several other hits of this time period) as having "a warmth of tone" and a "yearning soprano".

"Wilma Burgess has two very important factors working in her favor on this LP -- 'Don't Touch Me' and 'Baby'," writers commented.