incompetent vs unskilled

incompetent is a noun but unskilled is not a noun.

Word	Noun	Adjective	Verb	Adverb
incompetent	Yes	Yes	No	No
unskilled	No	Yes	No	No

As adjectives, incompetent and unskilled are synonyms defined as:

incompetent (noun)	unskilled (noun)
someone who is not competent to take effective action

incompetent (adjective)	unskilled (adjective)
not qualified or suited for a purpose	not having or showing or requiring special skill or proficiency
legally not qualified or sufficient	not doing a good job
not doing a good job	lacking professional skill or expertise
not meeting requirements
showing lack of skill or aptitude