i'll even go as far as to veto this character unless proven to be more flexible in his abilities, this isn't a battle of gods.
dude we have made an avatar teleporter mummy God who can make clones, transport to other dimensions and heal himself. i think we can handle a regenerator
hmm, i guess but i stand by what i said, at least OGHM's character is limited by his abilities. he can only use one ability at a time, its at least something to work around with but this is ridiculous.
Teddy is a one scenario wonder. If you go into hand-to-hand combat, you will most likely lose. That said he can still be disabled by using magical means or energy. Lock him down and you can experiment all you want with him. If you cut off his head, he is basically unable to function. Even though he is immune to cold, resistant to fire and pain and grows stronger in physical situation, any kind of other source of energy will completely bypass his defenses. A baby with a wand of Lightning could drop him. Sure he would regenerate soon enough but don't send a baby, send someone who can think while he fights.
Teddy is by all functions a niche fighter. A one man army, sometimes referred to as God of Battle, but only by those who also live through close combat. He has very little flexibility outside direct melee. A bigger target is easier to hit.