I was always super worried when my previous yorkie (Grey 1/2013-6/2014) went under anesthesia. He matured at only 2.2 lbs and did just fine. I'm an ICU nurse myself and sometimes I think we overthink and worry too much!! If we didn't, we wouldn't be doing our job to advocate for our patients, or in this case, our sweet yorkies!
That said, it sounds like from your post, the propofol is bolused for intubation. So any hypotensive affect would quickly correct itself since propofol has such a short half-life and isn't being used as a continuous gtt. So that's good! Also, if hypotension is a result of propofol, administering fluids isn't what's gonna ultimately correct the problem anyway-- metabolizing the propofol is. All of this to say - I am sure your precious fur baby will do great and these veterinarians are good at what they do and if he/she is confident, then all we can do is let go and trust. Ahhhh!!!!! That's so hard though (particularly for us ICU RN breed because we are crazy control freaks).
Let us know how it goes!!