Triggering blooming

[EmmaD]

Hey! So I rescued a phal back in July. Its root system was pretty ok looking when I repotted it, given that it had been in grocery-store-phal conditions, and it's been thriving so far (bright green leaves, new leaf growing about the same size as the previous ones). It's in a clay pot with bark chips.

It normally lives in my mudroom by a south-facing window and is watered once a week. However, I'm trying to get it to bloom so I've put it outside where it will get some cooler temps and more sun, which is what I've read will trigger a spike. The average temps here in MD right now are low of 35 and high of about 60.

My question is this: Can I leave it in full sun? The only places outdoors at my house which are shaded/protected get very very little sun and other than that it's just full sun everywhere else. I'm also wondering if it's ok for it to sit out when it rains?

Should I even try getting it to bloom this year since I suppose it's probably still recovering from previous poor conditions as well as being repotted?