Can I iron this shirt if it gets wrinkled?

First, let's break down the name. Peached processing refers to a finish where the fabric surface is lightly scraped to raise very short, fine fibers like the skin of a peach. This shirt uses fabric treated in that way to make the touch against the hand soft and create the line that drapes along the body^[1].

The instruction to avoid irons connects to this surface. When fabric where fine fibers need to stay upright is subjected to heat and pressure, the fibers tend to flatten and leave that specific spot with a shiny gloss. The outer fabric is woven from 91% polyester and 9% nylon^[2], and synthetic fibers are generally vulnerable to heat, meaning the surface can be pressed flat or deformed at high temperatures. Washing is also instructed as solo dry cleaning only, tumble drying is prohibited^[3], and care instructions regarding color transfer warning that color may bleed onto other clothes are also attached^[4].

Then the question remains of what to do about wrinkles. While we have not yet confirmed the alternative provided by the brand, for synthetic garments sensitive to heat, people generally hang them on a hanger and apply steam kept slightly away from the garment rather than laying them flat on an ironing board, or hang them briefly in a bathroom with residual moisture after a shower to smooth out the grain. If you store it hanging on a hanger thick enough not to ruin the shoulder line, deep wrinkles will naturally be less likely to form in the first place. If you are unsure, it is safer to ask for it to be smoothed out together when taking it for dry cleaning.

hmmm, seeing that "do not iron" and "do not iron outer surface" are written side by side reads as meaning that what must be protected on this garment is the surface rather than the shape.