Review the passage:
My cat Fuzz loves to sleep in inconvenient places.
Lately she prefers the computer table. Where her long hair sticks to the
mouse pad, covers the keyboard, and clings to the screen of the monitor.
You chose the first part, My cat Fuzz loves to sleep in inconvenient places. This part has a main clause: Fuzz is the subject; loves is the verb. A fragment will not have a main clause.