Obita struck after Simon Cox and Darius Henderson had clawed Forest back into the match following early goals from Pavel Pogrebnyak and Kaspars Gorkss.
Reading had former Forest full-back Chris Gunter sent off late on for a second booking after Obita's goal, but the visitors held out to record a first win in five matches.
Adkins said: "That was his first goal for us. He's been at the club since he was eight and he's been doing ever so well. It was a great goal.
"I've given him a run in the team and he's done ever so well. You have to be bold and play these young players like Jordan and Jake Taylor.
"We started well, got on the front foot and played some really good football in that first half. At 2-0 we were in the ascendancy.
"But just before half-time, Forest got back into it and they made two good substitutions and got themselves back on the front foot.
"Forest are going to be up there at the end of the season and to come away from home and get the three points is excellent."