Maybe LW's husband can go volunteer to work with pets somewhere and leave LW out of it.

While not anti-pet entirely, I have no desire to ever live with a dog. I've watched my sisters' dogs when circumstances required, sometimes for months. This has cemented my desire to never own a dog. (We are planning on getting a pair of cats.)

The kid can visit friends who have pets when they're older and get their animal time in that way. Or child can also volunteer somewhere to work with pets.