That was a scary experience! I hope all goes well at the vet, and it makes me very happy to see that you're so responsible in doing this right away. I worried about our cat when we first brought gliders into the house. Our dog at the time was very old and slow, but the cat could have been an issue. Thankfully, she has no interest in them. She is an indoor/outdoor girl so I am always careful to make sure she is in a closed room or outside and announce when I'm bringing the girls out for play time (in another closed room).
My older dog recently passed away and a young pup (8 months old) has come into our lives (rather unexpectedly). She's been with us almost 2 weeks now and shows the same quiet interest when I'm feeding, but other wise basically ignores them. It does add to the stress though with the possibility of a mistake or escape. A reminder for those of us with multiple pets to stay vigilant!
Again, I hope all goes well. Keep us updated!