1. This is a user to user forum, you are not addressing Apple. As users like yourself, we do not push anything to the Apple Tv.
2. It's not up to Apple to determine what gets pushed to a particular model of Apple TV. Its entirely up to the developers. In this case Disney. Apple just makes the platform available if developers which to have content on them, but they don't determine what gets pushed. Amazon for instance made their Amazon Prime video channel available on Apple TV 3, but Apple had nothing to do with it.
3. The Apple TV 2 or second generation Apple TV is very very old now and considered obsolete by Apple. They no longer support it.
4. If you need the Disney App, then you need a newer Apple TV. Either a 4th Generation or 4K Apple TV will support it.
Otherwise you need to contact Disney and see if they plan on releasing the channel on a Second Generation Apple TV.