To be clear, insects are considered animals as well.

As for whether non-insect animals help to pollinate flowers, the answer is yes. Some of these animals including various species of birds, bats, and even lizards are important pollinators to many flowers.

So I would think pollination by animals is a more accurate term.

Thanks Adwin and Ra1n for the comments! In this case, I guess both by animal and by insects are acceptable answers. 

I usually put pollination by insect. I only put animal when its dispersal.

Hope this helps