There is a difference between 1 and 2, imo,, buut, I think that's more to do with the fact that taking photos too close to your face (arms length, like your photo appears to be)can seriously distort your features and making the nose and other inside portions seem larger and the outside portions seem smaller, depending on how close you hold it and the quality of the camera (regardless, arms length will ALWAYS cause some level of distortion). The flash can do this as well and yours is extremely bright.
Photos taken in the mirror, though still inaccurate for many reasons, portray more true to life proportions tan arms length due to the distance between the camera and subject the mirror provides.
That said, HRT can change the appearance of your nose. Not bone, but it makes the skin softer and rounder and thinner on many parts of the face, including your nose, which can make it appear smaller and thinner.