-wild woman: After moving to the city, the once calm, studious girl became a wild woman.
-wild man: He’s a wild man who takes way too many risks and is an absolute adrenaline junkie.
-wild animal: The forest is home to many wild animals.
-wild beast: The wild beast feared nothing as it tore through the backyards of a once quiet neighborhood.
-wild thing: It was a wild thing to see such a normal household disrupted by so many scandals.
I like the context in which you used “wild woman” as it has a big range for what it could mean. Because everyone always associates city-life with “wild experiences” and reckless behavior, we can only imagine how wild the city has made the once quiet girl with the new environment. Being that it is a big change, this “wild woman” is probably a new, different person.
When it came to “wild things” I noticed how I associated this with more concepts rather than actual things. Similar to how you used “wild things” to represent a home go through such series of events, I utilized it to describe the concept of life and everyone’s individual experiences in it.