What is your characters species? Human.
Do they smell of anything peculiar that Drew might notice? Nothing special, except for her being a transwoman.
In general would you prefer your character to smell like something specific Drew would make note of? ^see above
Are you okay with Drew loudly and obnoxiously identifying your character? Go ahead.
Are you okay with Drew loudly and obnoxiously identifying and talking about / discussing your character's emotional state? ...WELL if he wants to be jerk. :C