Fear of FaceTime scam I was dealing someone about a rental property. They said they would call me on FaceTime. I was suspicious but went ahead with it anyway. When they called they immediately hung up and then (regretfully) I called back. No answer. Then I texted them and they said the rental wasn’t available any more. 

Is making or receiving a FaceTime call a security risk?
I'm not aware of any FaceTime vulnerabilities that you would need to be worried about.

Sounds like your biggest concern is a sketchy/unreliable realtor/property owner. Unfortunately there is no technology that I'm aware of that can protect you against them either.