G'day Mate,
Well I'm telling you it will. But if you are unsure, check out your manual, it states that the 46AX will handle up to a 12x7 prop. I'm sure your hobby shop owner knows more than OS, but just in case check it out anyway. I have flown lots of trainers for a lot of students, all different, but the best speed for a trainer was obtained with an APC 12x6 on an OS 46AX, the extra diameter helps with pulling power, but the overall speed is not excessive, & the motor does not have to gain many revs to get the plane flying again if you need to go around after a not so great approach, whereas the smaller props, eg. 11x5 or 6 need to gain a lot more revs before the plane will accelerate enough to keep flying.
And with this combination on a Skyraider Mk1, I can fly our Gold wings schedule, here in Australia with ease.
But you decide, you can always go to a smaller prop as you get better at flying.