Beat first 3 ingredients at medium speed with an electric mixer until creamy. Add egg, orange rind, and extract, beating until blended.
Combine flour, baking soda, and salt; gradually add to sugar mixture, beating just until blended after each addition. Stir in white chocolate morsels. Drop dough by rounded tablespoonfuls onto ungreased baking sheets.
Bake at 350° for 10 to 12 minutes or until edges are lightly browned. Cool on baking sheets 2 minutes. Remove to wire racks to cool.