Considering your background is in a focus different than Animal Control, what skills and characteristics do you have that qualify you for this position?

There are many ways that you can be a fit for a position, even though you do not come with direct industry experience. Think about the variety of skills that you have and how those can benefit another employer, despite the industry. These are your transferable skills and they can include things like dispute resolution skills, documentation skills, customer service experience, and even software skills.