Yes, DODGED is a Scrabble word!

Letter values in Scrabble US: D 2, O 1, D 2, G 2, E 1, D 2.

Is it a valid word?

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

make a sudden movement in a new direction so as to avoid
move to and fro or from place to place usually in an irregular course
avoid or try to avoid fulfilling, answering, or performing (duties, questions, or issues)

Also: put off.