When I was a high-school student back in the Dark Ages, there was a young lady who was playing the third part (first chair-third part) behind about 8 older males. She was REALLY GOOD, but nobody knew it because she did not assert herself. Instead she waited until we all graduated and she could have the first chair - first trumpet spot to herself. I was later in a small band with her and she was really angry that I was there because it was supposed to be "her turn".
I tell you all this as background for what I am about to say. Work on your sight reading, work on your technique, get an Arban's and work on it. Also work on relaxing, relaxing, relaxing. Challenge your way up -- challenge yourself. But do it in a spirit of friendly competition rather than to prove anything. Life is too short and friends are too few.