Thanks for letting us know about the problem and welcome to the community!
Unfortunately, I can not reproduce the issue. Once you configured the connection and created binding to the project SonarLint should pick up active Quality Profile from server it’s connected to and apply all rules settings.
To be on the same page I’ll add pictures of how it looks like on my box.
New quality profile with only one active rule is set to default on SonarQube:
Project scanned by SonarQube with new quality profile:
No issues reported on SonarLint even though we can see there are plenty of them in the code.
But if we will introduce the single one we activated in the new quality profile - it will be reported.
And if bindings are disabled - everything from local SonarLint settings is reported again:
If you spotted some difference between your actions and what you see on pictures - that’s may be the reason of the problem. If what I posted above doesn’t help - please answer below and we will continue troubleshooting. Maybe it will be useful to mention exact rules and your expectations about them (you want them to be enabled or disabled by new quality profile).
Have a good day!