No – it shouldn’t have any bearing on your application being accepted or rejected. However, it’s important to note that you won’t be able to work in the U.S. on your K-1 visa until you’re approved for work authorization. You’ll have to apply for the employment authorization documents once you arrive in the U.S. Thus, you can form your LLC at any time, but cannot work for it until cleared by the USCIS.
If you need any help forming your Wyoming LLC feel free to check out. We’re a legal marketplace that has helped many non-U.S. citizens in similar situations. Good luck with everything!