There is a CLSC (a kind of clinic you can get injections and your kids get the one and three-year evaluations) in Quyon, but you can't just walk in for medical help-- you have to have a referral or appointment, I think.
But there is a lot of health information available there, so it's a good place to visit all the same.
CLSC de Quyon
1164 rue Clarendon
819 458 2848
The info health line (Info Sante) for Quebec is 811.
It's a good place to go for advice before heading to the hospital.
Hopital du Pontiac Hospital
200 Rue Argue
819 647 2211
There is a doctors office in Quyon -- Dr's Lamarche, Crouteau and Bazil, I think. You can call to see if they are taking patients if you need a family doctor, but I don't advise you to get your hopes up.
111A rue Clarendon
819 458 2397