I think a lovey is a good idea and in no way it would put a distance between you and her. She will still know the difference between soothing with you and with her lovey. It is a good age to try to introduce one. (it might be late for iteiducing a pacifier though). I'm trying this with my now 17mo too (to replace the binkie).
Try choosing one that will be easily replaceable - even a flat diaper can do the trick. You could try to put it between you and her every time you BF her so she gets used to it and it will get your smell.