You need to take some time and study what
internal shoulder rotation is on a serve. For a kick serve, the chest is pointing more to the right (for a RH server.) There are other changes also that affect the direction that the strings face, amount & timing of ISR, amount & timing of pronation (probably set in before the forceful ISR begins, a learned thing) - all of which affect the direction that the strings face at impact.
When you are confident to think in terms of ISR on the serve you will see how the variables that you mention fit together. But
knowing them is still a lot more work, requiring 3D high speed motion capture systems. If you have another serving technique, such as the Waiter's Tray,
none of it pertains. That is why you should get a high speed video of your serving technique.
Nobody is going to be able to make it clear in a paragraph of text. It is possible to see the ISR in high speed videos as well as the direction that the strings face. You will also see that string direction changes very fast, say, 1 degree per millisecond. You can't describe these complex motions very well in text.
ISR is clear in most of these videos BUT it lasts only 1/4 second when a 240 fps recording is played back at 30 fps. Look at these videos until you can see the very forceful and rapid rotation of the straight arm just before impact. That is, in about the 7 frames just before impact.
https://vimeo.com/user6237669/videos
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internal shoulder rotation Chas Tennis