I don't know your employer, so it's hard to say, but I doubt they're focused on your LinkedIn profile, especially if you're not competing with them. If you're not selling whatever they're selling, then they may not care that you have a side gig for now. I really wouldn't worry too much about it. I know there are situations where you simply can't have anything aside from your job on your profile… So that's when having a “Company Page” is the second best option. It's not as good, you can't do as much with it, but it is an alternative.