I\'m having problems using font-face on my website. I can get it working when testing it on a html file with it\'s own styling, but not if I include other style
No, you cannot. There is no such exclusion mechanism in CSS or in HTML.
You real problem is probably solvable, though, but you did not describe it. You should describe, in a new question, what you want, what you have tried, and how it fails. With real code and/or URL.