One with rigid response to game, such as me (6)
I believe the answer is:
setter
'me' is the definition.
(the person that set this crossword)
'one with rigid response' is the wordplay.
'one with' means one lot of letters go next to another.
'rigid' becomes 'set' (synonyms).
'response' becomes 'ter' (I can't justify this - if you can you should give a lot more credence to this answer).
'set' next to 'ter' is 'SETTER'.
'to game such as' is the link.
This may not be right. Some or all of it may be part of another bit of the clue.
Can you help me to learn more?
(Other definitions for setter that I've seen before include "It helps to locate game" , "Jelly, perhaps" , "Puzzle creator" , "Silky-coated gun dog" , "Dog found in street" .)