A Canada Goose could cause damage to a gos with it's wings, so I would say a golden eagle would probably be the best bird to take them. Having said that, I have known some-one to have success at greylag geese with a large female peregrine.
A people who would trade liberty for security will end up losing both & deserving neither.
"...no hobby should either seek or need rational justification. To find reasons why it is useful or beneficial converts it at once from an avocation into an industry, lowers it at once to the ignominious category of an exercise undertaken for health, power or profit." -Aldo Leopold