Hi Tobias,
This is a great image already, the nebula color and star color are nice and beside the star shape you mention, which is not very pronounced either, the star size is good.
The two major things I would personally do would be:
1- some slight noise reduction. You got some apparent noise in the dark areas.
2- it could be my screen, but it seems that you have some red tint in your dark background so I would play on the red curve to correct that.
Not sure how you process the stars and nebula, separately or together, but if you can process them separately and dial down on the stretch of the stars that would keep the larger stars from bloating too much. In PI there are different blending formulas you can use that can help you achieve smaller stars and have a natural/smooth blending.
If you're interested, this is
my most recent version of M45Nick