A Tudor Revival with some cottage elements. I have a hard-on for Tudor Revivals. Super cute, but would look completely out of place in New Mexico (doesn't mean there isn't some abominable McMansion version of them out there, though).
Identified by their steeply pitched rooflines and decorative half-timbering, Tudor-style homes range from elaborate mansions to modest suburban residences. See pictures of Tudor homes and get ideas for your own home here.