In my first game, Hawkeye Robin Hood was annoying me (the first strike one) until I fielded Iron Man Playboy. Storms and Spideys can help out until you can buy stronger stuff.
Hawkeyes are usually weak too, so if you get one of the "pinging" cards (do 1 dmg to target), then you can snipe them off.
I had a feeling the answer to him was in the starter set. At the moment I have just over an entire booster's worth of cards and dice.
Thanks for the reply ;)