Yes, GAYWINGS is a Scrabble word!

Letter values in Scrabble US: G 2, A 1, Y 4, W 4, I 1, N 1, G 2, S 1.

Is it a valid word?

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

common trailing perennial milkwort of eastern North America having leaves like wintergreen and usually rosy-purple flowers with winged sepals

Also: flowering wintergreen, bird-on-the-wing, fringed polygala, polygala paucifolia.