Marti, please do not feel like this is your fault for getting Reilly. Yes, it might have stressed her out a bit, but she is used to dogs. I can't see it making her sick (let me say, at least I hope not). Ticked at you, yes, but not sick.
Taz was 10 when we got Zoee (and she has only gotten along with one dog in his life....my mom's min pin) and he just hid when he didn't want her near him. Oh, and he gave us dirty looks often.
Again, you, Bei-Jing, Hubby and Reilly will ALL be in my thoughts until I hear how it went at the vet....and even after.