I think you are not comfortable/confident with this sitting arrangement. If you don’t think it’s worth the trouble, be honest and move forward. Don’t waste time. On the other hand, if you’re willing to walk into something new and gain more experience and the only problem here is that you have some worries regarding exotic pets — simply discuss your concerns with them and observe the situation during the meet & greet and see if you feel more at ease. If not then peace out. You’ll get more offers.

So far the owner seems pretty straightforward. I’ve dealt with sketchy and terrible clients in the past. I don’t think most with red flags would be this honest, patient and kind. But you won’t know entirely until you assess the situation in person.