Good news on the bud but I couldn't see any shadowing in your pics. Is the new growth's leaf opened already? In your pic it looks like it is partially open. If it is you should be able to see the bud peeking out. It is kind of weird it is blooming now. They usually don't bloom this time of year. Post pics when it blooms!
Also I wouldn't let it stay outside at 27° F. I bought a coerulea pumila once and it was sent to me during the winter and it wasn't that cold but it came to me frozen. Here is a link to the Baker's culture sheet for L. pumila. In its native habitat the average lowest temp it receives is 51°F. So if you trust the 27°F I think you will end up with a pumila popsicle. Good luck!
Laelia pumila Culture