Thanks for your help Ont-ice.
It's a good idea - could be rose perhaps.
There are some artists colours that have quinacridone in the name, but I don't think it's that. The clue is a bit more feeble than the rest if it's just the initial letter of something.
Q is also the acronym for the Queen in a game of chess. She can be the Black queen or the White queen. Perhaps the setter wants one of those two colours.
Forget to welcome you to the site. Hope you enjoy it as much as I do.
O-ice