When something is ill-considered, it hasn't been carefully thought through, like your cousin's ill-considered idea to adopt six rabbits and let them run loose around his house.
The adjective ill-considered describes decisions that are made impulsively, without enough contemplation of the pros and cons. Marrying someone the day after you met them would be ill-considered, and so would jumping off the garage roof into a pile of leaves while holding an umbrella to slow your descent. If you stopped and considered the possible consequences, you'd probably make a different choice!