Applicant did not disclose their emotional dog

[Violet Lisa]

I guess my situation is a little unusual - I have a potential tenant who has filled out applications but did not disclose they have an emotional support dog until we mentioned there will be a pet deposit since there will be a dog living on the property as well. I am okay with the pet situation but I feel it's a bit odd they told us the dog is emotional support right after my property manager let them know about the pet deposit instead of just being upfront about it. I don't feel comfortable with the situation, and I think this is dishonest. Can I deny the applicant at this point? I would appreciate any advise, thank you.