You lost me there; are we still talking about Linux? I don't know how to set this up for Windows.
First, check what that partition is formatted as by running lsblk -f — see my screenshot above for reference. If it's formatted as NTFS (most likely the case, since you can read it through Windows) then you will always have full access when you mount that partition on Linux, which is not what you want, right?
If there's anyone else using that same computer (or that same drive if it's external) the best option would be to encrypt the files that you want to keep private.
I'd suggest using Cryptomator for that as it will work on both Windows and Linux and you won't have to jump through any extra hoops: