You might be looking for peer, as in peer of the realm. Another possibility might be dear.
Peer.
A word that rhymes with steel and has the same meaning as hide is conceal. As far as I know that is the only synonym that rhymes with steel. Other words for hide are veil, mask, shroud, pall, cover and screen.
Pleasant Pheasant
glad?
torch
June
The word that rhymes with dot and has a similar meaning is: spot.
crease
pale
ship trip
slice
Sauce
Refine
umm....
Dime and Chime
rare bear
long song
None of these have the same meaning to thorn, but they could relate: horn, torn, worn, corn, born, mourn