You guys will be fine. Just learn to be very fast with the setup for each procedure and it won't matter how long it takes you to actually cannulate your target. If it takes you 15 minutes to set up and prep and 15 minutes to cannulate, you will get in trouble.
For you wrist butchers: The radial is almost invariably more medial to where you are palpating it. If you miss, aiming more medially (AFTER withdrawing to skin level - remember that the bevel is like a scythe and if you swing it side to side trying to redirect while still deep in tissue, you will cut everything in its path) greatly increases your chances of hitting your target. There are also bone and tendon landmarks for a more distal approach at the wrist (i.e., right between the distal radial prominence and the closest flexor tendon), however the more distal you are, the smaller the caliber of the radial artery.
Please remember to do a quick Allen's test before making any attempt and use a pulse ox on a finger of that hand to more accurately perform the Allen's test.
In the OR, you will also have more options should a couple of passes at the radial fail (brachial artery, axillary artery, etc.).
If you get a flash of blood using an Arrow arterial kit but cannot thread the wire into the artery, withdraw the wire to its starting position, push the entire unit deeper into the wrist to the point that no blood is flowing into the unit, remove the cannulator/wire unit leaving the catheter in place, then extend the the wire out of the end of the cannulator to its fullest extent. You can then begin to very slowly and carefully withdraw the catheter until its distal end pops back into the lumen of the artery (which you have purposefully pushed past). Once the blood is freely flowing (spurting your colleague in the face - don't stand directly in front of the catheter), slowly and gently place the wire/cannulator assembly back into the catheter and the extended wire should now pass easily into the lumen of the artery and you should then be able to easily spin the catheter off the Arrow cannulator and the rest of the way into the artery.
That is just one of MANY salvage techniques you will learn during residency so don't worry about your skills now. You WILL become the line placement expert, especially with arterial and IJ lines.