Transplant shock? The only advice I have to give is don't water it unless the soil is almost dry an inch down.PJ

Here is a link that might be useful: beefsteak plat

I have the perilla "magilla", and I keep it moist, but not wet in well drained soil.

Old fashioned Perilla is an Annual and reseeds prolifically. To me, when you brush against the leaves they smell like Licorice. They have shallow roots and in summer wilt easily.
I haven't had much success transplanting them, except when I could get enough soil with the roots so as not to disturb the roots very much.
Mine are about finished blooming and are setting seeds. If you would like some seeds, I would be happy to send you some.

Here is a link that might be useful: Preilla just like mine

Well that makes sense. This one is going to seed so I guess I can just depend on having some next year :) Thanks for the input all!

You can depend on having a LOT next year. I still have them coming up in the grass a long, long way from where they were planted. They are pretty for a short time, but way too invasive for me.