horsemanship vs skill

horsemanship and skill both are nouns.

Word	Noun	Adjective	Verb	Adverb
horsemanship	Yes	No	No	No
skill	Yes	No	No	No

As nouns, skill is a hypernym of horsemanship; that is, skill is a word with a broader meaning than horsemanship:

Other hypernyms of horsemanship include accomplishment, acquirement, acquisition, attainment.

horsemanship (noun)	skill (noun)
skill in handling and riding horses	ability to produce solutions in some problem domain
	an ability that has been acquired by training