authority vs lordship

authority and lordship both are nouns.

Word	Noun	Adjective	Verb	Adverb
authority	Yes	No	No	No
lordship	Yes	No	No	No

As nouns, lordship is a hyponym of authority; that is, lordship is a word with a more specific, narrower meaning than authority:

Other hyponyms of authority include power of appointment, carte blanche, command, imperium, muscle, sovereignty.

authority (noun)	lordship (noun)
the power or right to give orders or make decisions	the authority of a lord
official permission or approval
freedom from doubt; belief in yourself and your abilities
an authoritative written work
an administrative unit of government
an expert whose views are taken as definitive
(usually plural) persons who exercise (administrative) control over others