Two choices:
The camera is also wireless, so if you have a power outlet in the shed, no problem with power, your only concern would be the distance through the walls.
2nd... If you are able to run a CAT5 cable and use the POE kit, you can solve both concerns that way. You'll have the CAT 5 from the router to the camera and with the POE KIT will also provide the power for the camera.
In essence the POE kit comes with 2 devices which one plugs into your router .. the other plugs into your camera and the CAT 5 cable connects the two. Your camera power plug connects into the device connected to your router ... which in turn the power travels thru the CAT 5 cable... where the other device is connected to the camera...that powers the camera.
This setup has the advantage of being able to download firmware upgrades ( if needed) or if for some strange freak of technology, you have to reset the camera's IP its easier with a POE kit connection.
I ve had mines xx40a connected first wirelessly then with a POE kit, my preference is the POE. Just in case we have a power failure and i have to reset the camera.. i would need to connect directly to my router just to reset the camera, so i rather keep it wired instead of wireless.
just my opinion.