I'd do just that too most can relate to a teenage boy who voice has deepened. This is an easy way for someone to pick up an accent, there is something different for instance. I'd take it slow and speak about whatever comes up. If your at the point in therapy you just say, why do I sound like this give it an traits jot it down for the notebook. I'm either uneducated uniformed protector those unaccepting might just think it is being hoarse, a cold, it is nothing, I wont get believed and I made it up, that is fine too I think it is important to start conversation before too much is shared in session espeically without a Dissociative Disorder Specialist. Attention seeking and attaching is a necessity sometimes especially if good careers are in your favor. A preview look ahead is also fine ask what happens to folks on journey that has issue with repression and belief systems feels a little shattered but not on the dissociative spectrum and ptsd etc.