Best advice will always be from your treating physician

some general points:
1) many/most airlines publish their medical clearance guidelines- for example here is the qantas has one (that with which I am most familiar)- https://www.qantas.com/content/dam/q...guidelines.pdf
you’ll notice there is no mention of stitches, in the head or otherwise. However you may wish to consider if there was an associated injury or surgical procedure leading to the stitches being put in (you will see that “head injury associated with loss of consciousness or skull fracture” and “cranial surgery” have their own section in the Qantas clearance)
most of these guidelines are publicly accessible with a Google search- this website seems to catalogue them https://www.fittotravel.net/medif

2) less so from a medical point of view than a social/security point of view, I would be looking to debulk the “turban” dressing before travel, if possible. Scalps bleed like stink and therefore bruise, the bulky dressing is in place to prevent these things immediately post injury but can generally be removed once the immediate threat has passed (24-48 hours)

3) on face value you haven’t told us anything that I would find to be outside of the routine or particularly concerning