Yes, TRACHEOTOMY is a Scrabble word!

Letter values in Scrabble US: T 1, R 1, A 1, C 3, H 4, E 1, O 1, T 1, O 1, M 3, Y 4.

Is it a valid word?

TRACHEOTOMY is a valid word in the official Scrabble dictionary (US), the UK Scrabble Dictionary and Words with Friends (ENABLE).

a surgical operation that creates an opening into the trachea with a tube inserted to provide a passage for air; performed when the pharynx is obstructed by edema or cancer or other causes