How do I lose 100 lbs

(Trigger warning ED Depresion and discussionof weight) I'm 14f and ever since I can remember I've been bullied for my weight (roughly 200lbs) and it's caused me to go into a deep depression but whenever I try to lose weight I lose motivation the worse part is I want to do rugby but the local rugby club only does under 15s the same time I have youth group and drum lessons (back to back) and the closest town I live near is a 5 minute drive (hour walk downhill) and the pool got burnt down (ironic I know) what do I do (also I cannot become bulimic because I can't force myself to puke no matter how much I try)