Rotty's right... even 180hp C172s have pretty negligible torque/p-factor to deal with. Any x-wind at all presents more of a directional problem during a takeoff roll. And the odd thing is that it sounds like you were dealing with a x-wind from the right, not the left.
If you've ever flown and older C172 and then hopped into a newer model (or one with new rudder/nose-wheel hardware), the difference is dramatic. I've flow C172s that had so much slop betwen the pedals and the nose-wheel, that differential braking was required while taxing. And on newer models, the ground steering was was very precise with pedals alone. Maybe after taxiing onto the runway, you had a sloppy nose-wheel, already cocked to the left. And if you were already aimed slightly to the left, the addition on torque/p-factor added to the mix would have you applying LOTS of right pedal.
The other point of Rotty's that is most important; is your instructors evaluation. He knows you, and he's ultimately responsible for your training. It's hard for us to "instruct" by forum post.. so before incorporating ANYthing we say.. please run it by him. I've seen two very seasoned and competent instructors get into heated debates about how to handle their students.
With that said... I'm thinking that the scenario I mentioned, might be what happened... and you probably over corrected. I'm just having trouble understanding how you got into a drifting situation like this. You say that the nose was point right, but the plane was drifting left.. and it sounds like it started happeneing very early...as in, right from the begining of the takeoff roll. I know things happen quickly when we're caught off guard in the cockpit..so maybe the loss of traction happened further into the roll than we're understanding... Although, If you were alone (and from one of your photos, you look rather "small" (as in WELL under 200lb), and if you were flying on tanks under 1/2 full.. a C172 will get up to "lauch" speed in a hurry.
Anyway..a wind from the right would call for LEFT pedal at first. Right pedal would just compound the wind-induced directional problem. Then, as lift began to negate the tires, you'd have to decide when to launch into ground-effect, because drifting would set in. That can be a scary and critical time for a new pilot. Eventually, you won't give this stuff too much thought. You'll be instinctively flying the airplane as you roll out onto the runway.. and your feet will do their stuff on reflex. You won't think, "OK, first I'm countering the torque, then I'll deal with the wind".. it will all just happen. Every takeoff is a different dance with the pedals..
