Despite being appropriately swaddled in a muslin wrap, and placed at the end of the bassinet, when my 9 day old daughter wakes she rolls/shuffles herself to the edge of the bassinet. I’m concerned that she will face into the bassinet and her breathing will be restricted. Do you have any advice? Should we stop swaddling early?

Many babies will wriggle & change position (like you describe) at a young age.
While most babies do not roll intentionally till about 3 months, some do roll early.
She may be one of those.
If she appears to be intentionally rolling, please see the following info:
https://rednose.org.au/article/what-do-we-do-now-that-a-baby-has-started-to-roll-over

Also, some babies just do not respond well to wrapping & like their arms free.
Often these babies like their arms free or like to touch their face or suck fingers & will wriggle to get free.

You could consider moving her to her cot & cease wrapping or wrap only under her arms (ie with arms free as for 3mth old)).
Baby needs arms free to roll safely.
Red Nose recommends to “modify a wrap” once baby is around 3 mths of age in preparation for rolling (if they are not already rolling)

If baby is rolling (or making an attempt to roll, then wrapping needs to be ceased.
https://rednose.org.au/article/wrapping-babies

Once baby is showing signs of being able to roll, it’s time to move baby to a safe cot – this is usually around four months, but it will depend on your baby.
https://rednose.org.au/article/bassinets