Initially I thought your problem was that your wrist is too high, but that doesn't seem to be the case since you mentioned that you're having difficulty bringing out the chord.
Notice how only two notes shift with the chord change. G natural (I assume you play this with your 3) goes up to Ab, an Eb down to D. Be sure your hand isn't too close to the edge of the black keys, it should be closer to the fulcrum of the piano. The thumb should easily slide down to the D, at no point should your arm or wrist need to move.
I suspect your problem is that you're getting tense, thus creating it more difficult to bring out the chord. At any point do you feel any pressure on your elbow or a burning sensation in your forearm? You may also be putting stress on your upper arm without knowing it, the only analogy I can think of at the moment is flexing the bicep.
Just be sure your entire body is completely relaxed, there should be minimal movement with the wrist.
Best wishes,