Ex-communist card player fed without hesitation (4,6)
I believe the answer is:
Here is my best explanation:
'ex-communist' is the definition.
(East Germany was a former communist country)
'card player fed without hesitation' is the subsidiary indication.
'card player' becomes 'east' (bridge players are known by compass position**).
'fed' becomes 'gman' (both are slang for US federal agents).
'without' means one lot of letters goes inside another ('without' can be similar in meaning to 'outside').
'hesitation' becomes 'er'.
'gman' enclosing 'er' is 'german'.
(Another definition for east german that I've seen is "inhabitant of former country".)