
Jeffrey W. answered 12/12/19
20+ Experience plus a Bachelor's Degree in Digital Photography
This will depend a lot on the type of wildlife you are photographing and how close you can get to them. For many types of wildlife the most difficult part is getting close enough to the animal. This is especially true of bird photography. This is why many wildlife photographers prefer aps-c cameras, the smaller sensor provides a tighter crop at a higher pixel density compared to a "full frame" sensor of the same resolution. This lets you get closer to the wildlife.
There are disadvantages to the aps-c sensor though, they (usually but not always) have worse dynamic range and noise compared to a camera with a larger sensor. Also, some "full frame" cameras can be obtained that have much higher resolution than any available in aps-c sizes. This means they can have pixel density equal to the smaller sensor while also have a great many more pixels, allowing for greater cropping into the image while still retaining high image quality. This is often essential for bird photography, especially for birds in flight, where you can rarely get close enough without cropping.
Another consideration is that "full frame" sensors typically have better low light capability and many forms of wildlife are most active at dusk and dawn, times when light levels are much lower. Full frame sensor cameras will often be able to create cleaner less noisy images at those times.