Q.Peony
I wonder why my peony is looking like this . I got the root a month ago and planted it. But it’s not showing any growth. Should I dig it out and plant again?

Certified GKH Gardening Expert
I would leave it. replanting would only add more stress than necessary. Instead, you will want to find out what is stunting it. Overwatering should be the first suspected issue.
Make sure that the top few inches of the soil are completely dry before watering again. Overwatering will cause root suffocation, or in this case, prevent it from growing a good rootset in the first place. You may want to use a fungicide just in case. Wet conditions can breed disease.
It is worth noting that your USDA zone falls right outside of their normal range. Zone 8 is their high, and you are zone 9. With this being said, you may want to dig it up at the beginning of Fall, long after it recovers, and keep it in container. Leave several weeks for recovery so you can provide chill hours. This article will help:
https://www.gardeningknowhow.com/ornamental/flowers/peony/peony-chill-hours.htm
This article will help you with growing your Peony:
https://www.gardeningknowhow.com/ornamental/flowers/peony/peony-care
These ought to get you started on your way to seeing these wonderful blooms!