What's the weight restriction on that kayak? (That's the first thing I would look at) After finding that out. Weigh yourself, weigh your normal gear. See what you are left to play with.
My Deep Cycle battery is about 60lbs. The mount I made is light, but I'd say around 3lbs. Then the Minnkota is 23lbs (Thats what the box said)
You could always also hack the motor and rig it to the back, but then you still would need a good Battery and that might be a lot on the back of a 10ft yak. It really depends on what that kayak is rated for.