挑いどむ

1. 1to challenge to (a fight, game, etc.) ; to throw down the gauntlet ; to contend for
2. 2to tackle (e.g. a problem) ; to attempt ; to go after (a prize, record, etc.)
3. 3to pressure (someone) for sex ; to make advances to

JMdict entry 1428230 · frequency rank 46. Source and licence.