As with most TOS outings, the blu-ray's new f/x elevate the proceedings to a believable level, but come on... this episode is too simple and simply shallow, even for TREK circa 1966.
An alien, claiming to be the Greek god Apollo, ensnares the ship with a force field (shaped like his hand, a very big hand it seems), and wants to crush the ship if the crew don't worship him 24/7. Kirk and crew have to stop him before he treats the ship like a giant beer can. Yeah, one would have to have drank a lot of beer to be able to sit through this episode.
The alien claiming to be Apollo is well-acted, and it's easy to see why Kirk would object to herding sheep, eating lamb chops, not getting to the 3rd season episode written by the creator of Lamb Chop (Shari Lewis), and making itchy wool sweaters in effigy for the rest of his life, but good grief - this episode is a turkey, which makes me pine for the horrendously awful "The Alternative Factor" or "The Galileo Seven".
As usual, Scotty is protective and sexist toward the token female object of the hour and just about gets killed. Granted, he is wearing a red shirt, but that's okay - in TNG and its spinoffs, if you were a yellow shirt you'd be killed (or at least getting your pants the same shade of yellow if you got sufficiently
Kirk states that his one God is sufficient - whether that's the one that says it's a sin to eat cows, or the one that says it's a sin to eat anything that isn't a cow is still up for debate... Either of them is preferable to a deity belonging to a culture that practiced molestation of boys, but in 1967 or now I doubt that the premise of beings visiting Earth, going away, and humans finding them would be explored in any serious manner. Even "Plato's Stepchildren", which is a harsher yet more watchable tale, doesn't go into detail about how humanity's ancient cultures behaved... so in that respect, it's easy to believe Kirk's defiance...
Obviously, there's not much to really say about this one - except "skip it, next please". Unless you like eye candy, especially in the form of eye candy, especially if you can appreciate both genders. Just turn off the brain, turn on the thing that makes you enjoy eye candy, and let the next 51 minutes whiz right by... but it's nowhere near the level of intellectualism that it could or deserves to be.