Turkish bath vs bathing

Turkish bath and bathing both are nouns.

Word	Noun	Adjective	Verb	Adverb
Turkish bath	Yes	No	No	No
bathing	Yes	No	No	No

As nouns, bathing is a hypernym of Turkish bath; that is, bathing is a word with a broader meaning than Turkish bath:

Turkish bath: you sweat in a steam room before getting a rubdown and cold shower
bathing: the act of washing yourself (or another person)

Other hypernyms of Turkish bath include washup.

Turkish bath (noun)	bathing (noun)
you sweat in a steam room before getting a rubdown and cold shower	immersing the body in water or sunshine
a steam room where facilities are available for a bath followed by a shower and massage	the act of washing yourself (or another person)