A person who is conservative in the sense that they don't like change, rather than being Conservative
in the sense that they are right wing.
In Canada, it can also mean the Conservative parties in general, rather than THE Conservative Party.
The British Medical Association is an example of Small C Conservatism. The BMA opposed the creation of the National Health Service by Atlee's left wing government, but now opposes the reforms to it that are being proposed by Cameron's right wing government.