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This article is a basic fern how-to: https://www.gardeningknowhow.com/houseplants/ferns-houseplants/growing-ferns-indoors.htm
Use potting soil mix WITHOUT "moisture retentive" additives; I also like to add extra perlite to the mix.
You'll need to have some method of testing the soil moisture -- a moisture meter from the store, or a simple wooden skewer, will be perfect. You don't want to let the soil on ferns dry out, but the moisture should get down to a "damp" level between waterings. Fingers are your best tool for testing moisture.
Also, you can mist if you want to, but for plants it's totally unnecessary. Misting increases the humidity around the plant for less than 5 minutes! The common ferns that you find in stores will be content with your home humidity, or you can use a humidifier if you like it. The more exotic ferns that require higher humidity are best left to expert-level growers, who can provide climate controlled facilities.

Cinnamon fern directions advise planting in the spring, especially in the northern zones, so that the roots can establish themselves before winter. However, here are a couple of articles that discuss things you can put into the ground now: https://www.gardeningknowhow.com/ornamental/bulbs/bgen/is-it-too-late-to-plant-bulbs-when-to-plant-bulbs.htm
https://www.gardeningknowhow.com/garden-how-to/soil-fertilizers/fall-gardening-tips.htm

I'm not exactly a fern expert, but it looks like it might be some type of polypody fern.

The larger a plant is, the more likely it is to go into transplant shock. It sounds as though yours may have transplant shock. This article will help you with dealing with that: https://www.gardeningknowhow.com/plant-problems/environmental/learn-how-to-avoid-and-repair-transplant-shock-in-plants.htm

Lady ferns are a deciduous fern, meaning they lose their leaves in the winter. After the leaves die back, you can cut them off, if you want to tidy up your garden. You can control their spread by digging up the rhizomes (large underground stems from which the leaves spring) in the areas you don't want the ferns to appear, or from the edges of the fern clumps. Just after the first frost is a recommended time, but if that's passed for you, you can dig anytime the earth isn't frozen. https://www.gardeningknowhow.com/ornamental/foliage/lady-fern/planting-lady-ferns.htm

We did not receive your photo (sorry). The soil should be rich, well-drained, with an abundance of organic matter (i.e. compost). You should work the soil so that is loose instead of compacted, which will allow the fern's roots to grow more freely.

Taking care of ferns is relatively easy and ferns as a whole are very forgiving plants. Ferns are ideal for your spot given that it's shady and wet.

The article below discusses different types of ferns and their care:
https://www.gardeningknowhow.com/ornamental/foliage/ferns/taking-care-of-outdoor-ferns.htm