It does not matter at all. If you do stutter, you were comfortable before. Now someone pointed it out and you're self conscious which I understand but there is literally nothing different about you. If you don't stutter, someone pointed out that you might and now you feel the same self consciousness. The stutter doesn't matter and does bit impact the equation. You should continue to speak as you have and feel about yourself the way you have always felt because you're the same person, stutter or not. You sound comfortable and you speaking without tension or struggle and that sounds wonderful. Whether you do or do not stutter is irrelevant.