I'll say this based entirely on my first-had experience with actually performing "wet location" tests (NEMA, UL, and others):
That basic Intermatic enclosure might just pass the NEMA 3R test. I's a very close call. The test applies a strong rain at a 15-degree angle to the enclosure. At the end of the test, it's only required that there not be an 'objectionable' amount of wather having accumulated in the enclosure. With the connections a good inch above the bottom, and all KO's located below them, it just might pass.
Still, the Intermatic web site, in discussing this timer, refers to it as a NEMA-1 case. Whether you can buy a new case separately, or have to get the whole assembly is another issue - but there is a NEMA-3R case available. (This case may be plastic).
It should be pointed out that the 'outdoor' model has a different part number, T103R.
In Nevada, the standard case has proven more than adequate outdoors and unprotected. I'm not justifying the practice - this is just an observation after seeing decades-old installations continue to perform well.
Of course, you get a wee bit more rain in Florida .... and salt corrosion may be a factor. The NEMA-3R metal boxes are made of a heavier steel.
I'd consider all the circumstances, including whether the timer is sheltered by the building, etc.
