She's not very big, about the same size as Meiko. The name Tyrannosaurus was chosen when all of the Sendai rookies got new names last fall. Jinsei Shinzaki (president of Sendai Girls and Michinoku Pro) wanted her to have an "animal" name like they had in AJW back in the 80s (Jaguar Yokota, Lioness Asuka, Bull Nakano, etc.). Most of the "good" animal names had already been used, but Okuda liked dinosaurs and chose Tyrannosaurus. The name is one of the few things I don't like about her-it's too long and seems to be a silly choice for someone who isn't big.
The match kapengmabula already mentioned (vs Aja Kong) is good. There's a fair bit of Okuda and Sendai available on Youtube and/or VEOH. The Meiko/Okuda/Miz vs Kuragaki/Nakajima/Ohki tag from the 8/26/07 JWP show is good, as is Okuda vs Nakajima from the November Sendai show and the main event of the 12/31/07 Jr. All Stars (Okuda/Aya Yuki/Aoi Kizuki vs Nakajima/Hiroyo Matsumoto/Hanako Kobayashi).