anomalousness vs abnormalcy

anomalousness and abnormalcy both are nouns.

Word	Noun	Adjective	Verb	Adverb
anomalousness	Yes	No	No	No
abnormalcy	Yes	No	No	No

As nouns, abnormalcy is a hypernym of anomalousness; that is, abnormalcy is a word with a broader meaning than anomalousness:

anomalousness: deviation from the normal or common order or form or rule
abnormalcy: an abnormal physical condition resulting from defective genes or developmental deficiencies

Other hypernyms of anomalousness include abnormality.

anomalousness (noun)	abnormalcy (noun)
deviation from the normal or common order or form or rule	an abnormal physical condition resulting from defective genes or developmental deficiencies