Wiktionary
small-c conservative
alt. (context politics English) A conservative, that is, a person who holds conservative views, who is not a member of their country's "Conservative Party". n. (context politics English) A conservative, that is, a person who holds conservative views, who is not a member of their country's "Conservative Party".
Wikipedia
Small-c conservative
A small-c conservative is anyone who believes in the philosophy of conservatism but does not necessarily identify with an official Conservative Party.