(A) Win hands down can be easily understood to win without putting much effort, the option most in line with this would be II, conquering easily. 

(B) Learning the hard way would best fit III: Learning from bad experiences. 

(C) Feeling blue is not very common, but among the given options, only IV: Miserable would best fit the "blue". 

(D) The connection of "heel" can be made to connect with running and I: to run away. 

Henc,e the correct matching would be: (A)-II, (B)-III, (C)-IV, (D)-I

Therefore, Option C is the correct answer.