Let me know if this is inappropriate.

but i need help regarding to my psp. Last few days i just finished playing Metal Gear and i just left it on because i'm too lazy to wait infront of the psp reading the credits. then i went to see my psp, of course it'll be out of battery, i know that could be coming. but then i've tried to charge it , like usual using the adapter. but there was no orange light (which means that i'm using the adapter) and i can't turn on the psp. i tried switching the socket here and there but no avail to that. but i just realize that the adapter was kinda hot when i turn the switch on. is the problem is with my PSP's battery or the adapter?

I don't have time to go to any shop to settle the problem, so i guess anyone here could help me maybe ?