@alexlocnj, my guess is that your nother’s resistance based on room cleanliness is masking another, and bigger, issue: She’s uncomfortable with you entering the military. That could be rooted in any number of concerns — some legitimate (“you could be killed”), some not (“the military isn’t for smart people who are good at school”). Read this forum long enough and you’ll see this isn’t unusual.
What do you know about your mother’s thoughts on joining the Navy? Have you had a heart-to-heart conversation about what it means to serve your country? Does she understand what it entails, good and bad? Do you understand why she might be resistant, founded or unfounded? It would behoove you to dig deeper with your mother and discover if “you don’t even clean your room” is just a veil for bigger issues.
That said, it wouldn’t kill you to pick up your room. Show her that you can be responsible, that you can do the little things, that you don’t need the wrath of Plebe Summer detailers to motivate you. (Reference Adm. McRaven at this point.) If you need to win your mother over, it could take an acccumulation of “little things” to convince her that you can handle military life.
To be clear, you don’t need your morher’s permission to enter USNA. At 18, as a legal adult, it’s solely your call. But USNA is a tough place to be, and the active-duty Navy even more so. Knowing you have her support — however guarded or grudging it may be — would be invaluable in that endeavor.