I know all these questions have been covered, but I'll start with my immediates. I do read threads, not all, but am freshly trying to learn.
This is just my easy way of hopefully getting a response to a Q and A. All are welcome

Yellow foliage is all around my new daylilies from Home Depot. I've been on vacation for a whole week while Temps here in NC stayed in the upper 90's.

Is the yellow foliage simply from lack of water and can I peel or pull the dead leaves out?

They're watered daily at the stores and come from a greenhouse. Of course they're great upon purchase, but is that simply it

Are they still in their original pots?

If so, they're probably root-bound, which means that they'll require almost daily watering. Putting a saucer under the pots will reduce watering frequency and stress on the plants.

First, though, you'll need to soak them well, plunging them in a bucket for 15 minutes or so to eliminate all the dry pockets. Then water to flush the pots. Wait a week before yanking the yellow foliage, some of it may recover and green up.

They are still in their original 1 gal pots. I will continue to water, will soak tomorrow, and I do have saucers for the pots

They do like their water! Here, as soon as it quit being rainy and cool, I've had some plants protest the sudden onslaught of heat by having the outer leaves turn yellow. This happens every year here in my heat and usually earlier because it's normally much drier than this year. They are particularly inclined to do it as soon as bloom is over. Many of them seem to take a break from active growing. If those you bought have bloomed and you have them outside in the sun and heat, they might be doing that. If that's what they are doing, some may look pretty sad before there is new active growth later. I just think they take a long siesta post bloom when it's really hot.

With so much of the heat we have had over the last two months so much of my outer foliage has turned yellow. Sometimes I think I am in the wrong garden.

Gabe, just saw this thread. We have several hybridizers in the Charlotte area and a great Daylily club. Please join us in January 2017. Piedmontdaylilyclub.com is our website and shows the meeting schedule.
Hope to see you at a meeting.

I'll take a look right now!