Shifty backward pass received by First Lady (7)
I believe the answer is:
evasive
'shifty' is the definition.
(I've seen this in another clue)
'backward pass received by first lady' is the wordplay.
'backward' shows that the letters should be reversed in order.
'pass' becomes 'visa' (pass allowing international travel).
'received by' indicates putting letters inside.
'first lady' becomes 'eve' (first woman in the Bible).
'visa' written backwards gives 'asiv'.
'asiv' put inside 'eve' is 'EVASIVE'.
(Other definitions for evasive that I've seen before include "Dissembling" , "Quibbling" , "Shifty, not answering directly" , "Equivocal, slippery" , "Deliberately vague" .)