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Well, just by that she sounds more possessive than caring. She might be insecure too.
Anyway Rusbernd is right, better than one who doesn't give a crap.
Maybe you could tell her you are loyal because you are loyal and not because she's nagging you. If you wouldn't, her nagging wouldn't stop you either, so she should stop no point of doing that.
You should be open what you do, but make her understand she doesn't have power to demand report on what you are doing. You are open because you want her to see she can trust you.
Or something. I shouldn't give advices I dunno about the actual situation anything.