It will help but not as much as you would think. I would put more emphasis on an AA, BA, or BS. Those will set you apart more.
Do everything possible to get SGT and a slot in WLC. That will help. If you know an Army flight instructor, get a letter of recommendation from them, a CW4 or CW5 will give that letter moore weight. Good luck, do not blow your chance by sitting on your packet.