Distant and shy.
1857. As the coy country damsel says: There is danger of acting offish too long and losing the fish when he is actually bitten.Knick. Mag., xlix. 447 (May).
1873. I am naturally pretty offish and retirin in my ways with strange men folks.Marietta Holley, My Opinions and Betsy Bobbets, p. 289 (Farmer).