Why is cutting it dry so bad? In my case, it gave my stylist a good look at where the demarcation line began, and to better assess the damage as she cut off the relaxed bits. After, she wet it down, trimmed it up a little more, and then styled it, it was perfect.
Can't you ask your stylist why she wants to cut it dry only? And tell her you have a preference for wet cuts?
Wurly, fine, thin, moderately to heavily porous. Mod CG.
I had intended to book an appointment with my stylist, but I eventually got frustrated with the different textures and just BCed myself. I wet my hair and applied conditioner because it really enhanced the difference between my naturally coily hair and my relaxed ends. It was important to really define my hair in this way because I was just working with a mirror and squinting to see the differences in the back of my head etc.
I think it might be a different case with a stylist...even if looking at your dry hair, she would likely be able to tell the difference between the textures. If you trust that the stylist is a professional, you should be fine.
Either way, talking to your stylist about your reservations wouldn't hurt.