Well done Ewen! Your instructor would not have sent you solo if you were not ready for those conditions, so you must have been doing well.
There are some good comments above, and the use of less flap is something to consider. On a crosswind take off it is can be an idea to hold it down and positively lift off a few knots faster than normal, rather than letting it fly off (as there is sideways pressure on the gear).
If you haven't flown much in wind the other thing to consider is ground speed. With a decent headwind component, even with the extra airspeed you are carrying you'll be landing at a similar (or even lower) ground speed so you will stop just as quickly on the ground.
Also think of the wind over the ground. The downwind leg will happen faster as you are being pushed along by the tailwind, but consider an early base turn because when you turn final, you are now battling more of a headwind. Think in terms of engine failure - would you make it to the field?
Also if there is a crosswind component, will that push you wide, beyond the centre line, resulting in a fairly ugly situation of trying to over-bank? If so, maybe you should start that turn onto final early.