I think she meant play house, but who knows with Ar Kate.
100%. They shouldn't put that kind of pressure on her, nor should she put any pressure on herself to have a child because of her parents' ages. Not sure if this is a crazy idea but she could try to get a job at a nursery or volunteer at an after-school club instead. It should be something she's able to do since there would be some other staff members there too, plus it would only require a college childcare qualification that the nursery could organise for her to do?
Re: jobs and volunteering for Kate, I've also thought she'd be very well suited to volunteering in care homes, given her obvious love of old people.
I've got a friend who works in social care, and they're always understaffed. I believe that Kate probably wouldn't be eligible to be a full carer, as I think it requires a level of physicality (i.e. to lift or move patients on beds and accompany them to the toilet etc) that she doesn't have. However, I'm sure she could do voluntary shifts as a visitor to talk to them and entertain them.
She sort of does this with the Bowls Club, but I'd imagine those OAPs still have some independence, whereas those in care homes are more restricted and probably welcome more outside interaction.