The lobe on the top of the anther is dark blackish green, gently curved and deeply notched.

[2][3][4] Thelymitra reflexa was first formally described in 2005 by Jeff Jeanes and the description was published in Muelleria from a specimen collected near Crib Point.

[5] The specific epithet (reflexa) is a Latin word meaning "bent or turned back"[6] referring to the strongly reflexed sepals and petals, although the flower only open on very hot days.

[3] The reflexed sun orchid grows in heathy woodland but is only known from the Mornington Peninsula and French Island.

[2][3] Thelymitra reflexa is listed as "critically endangered" under the Victorian Government Flora and Fauna Guarantee Act 1988.