Wiktionary
uncoveted
a. Not coveted.
Usage examples of "uncoveted".
They took it in turns, each slipping by chance into that onerous position, supported but uncoveted by the other.
Proxmire gave his uncoveted award to a project going on right here in Boston, a joint effort sponsored by Tufts University and the Boston Museum of Natural History.
My second option was to take this uncoveted command at Fort Hadley, where the Psy-Ops School has its subcommand.