It is in my bathroom sink on the north side of my house. I don't think the pipes are frozen because the toilet seems to be working and the shower beside it had pressure but the water was brownish.

Check the aerater on the sink fuacet spout. Remove it, and see what kind of pressure you get. If good pressure with aerator removed, clean aerator and reinstall, or replace.

Was it hot or cold that's "brownish"?
How old's your house? Galvanized pipes? Let me know, Tom