Definitely a luck factor; some skill is still required. I always thought rummy feels like a race. Just when I think I'm about to win, my wife wins instead
That mean your wife have better rummy skills, as a rummy player since 4 year, i can suggest you some tips to win rummy
Keep a close watch on your opponent's playing
Discarding high point cards like hot potatoes could save your game!
Alternate the Colours, Avoid confusion
For brief study - games24x7.com/rummy-tips-tricks.jsp Visit the links
and i am pretty sure, once you read all the tips, you can be a better player.