Clinicals

So I'm curious to know the opinions of others. I am a LPN going through RN clinicals currently. I have been to this facility before and people know me and have asked me how I'm doing etc, they know I am a LPN. And the nurses I get paired with and patients I interact with can tell I have been working comfortable with patients for a while...so they find out I'm a LPN. I never go outside of my scope as a RN student or act like oh I'm a LPN I don't need to do this or I can't learn something new...but a patient didn't want me to do something with her because she saw my uniform. I said ok that is fine, im more than happy to watch if that is ok and she she agreed. With mild manner chit chat in the room amongst the nurse, patient and myself they began to ask me my work history and if I've given injections before, etc. So I said yes I have at my old job and the patient asked if I was a medical assistant and I said no so she asked what I did and I was honest and said LPN. So immediately she wanted me to do the injection again..haha. I told her I do not have to give it, I am a nursing student while I am here not a LPN. But she insisted. I told this to my instructor and she said that I was not allowed to even tell them I have a LPN or the staff that I am....now I understand I can't use my LPN role and do things I'm not supposed to do as a student and I don't. I also carry a higher liability insurance than a normal student so it really shouldn't be a liability concern as much as it would be for a traditional student...I'm basically asking, am I wrong to be honest and tell people my title even though I am only acting and doing things permitted for me to do as a student??