peer of the realm vs peer

peer of the realm and peer both are nouns.

Word	Noun	Adjective	Verb	Adverb
peer of the realm	Yes	No	No	No
peer	Yes	No	Yes	No

As nouns, peer is a hypernym of peer of the realm; that is, peer is a word with a broader meaning than peer of the realm:

peer of the realm: a peer who is entitled to sit in the House of Lords
peer: a nobleman (duke or marquis or earl or viscount or baron) who is a member of the British peerage

peer of the realm (noun)	peer (noun)
a peer who is entitled to sit in the House of Lords	a person who is of equal standing with another in a group
	a nobleman (duke or marquis or earl or viscount or baron) who is a member of the British peerage

peer of the realm (verb)	peer (verb)
	look searchingly