Prospective tenant is lying about pet

[Sh T.]

Hi all, we are renting our house. We are not allowing pets and zeroing on a tenant. She told me that she have no pets but I check her social media and she have a dog. I might be agree on dog if she told me beforehand . My main problem is that she is lying to me. I can’t tell her that I check her on social media. What should I do? I ask her specifically that are you planning for pet in near future because our house is new and I don’t want them to destroy my carpet. She said no.

I don’t want to loose her because of pet. 

Please advice what should I do?