Yes, ANDROGYNE is a Scrabble word!

Letter values in Scrabble US: A 1, N 1, D 2, R 1, O 1, G 2, Y 4, N 1, E 1.

Is it a valid word?

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

one having both male and female sexual characteristics and organs; at birth an unambiguous assignment of male or female cannot be made

Also: epicene person.