I didn't really recommend Opera. Any closed code has less potential for audit. That's a built in drawback. With browsers you at least have choices.
You hardly can guarantee what DRM does or does not, because the same DRM isn't open either. You assume that's what it does. Assumption aren't enough it comes to issues of trust and security. And by its mere definition DRM can never be trusted - ever. Simply because DRM never trust the user by its own definition (that's the point of DRM), and trust is a mutual relation.
So, you're completely paranoid, then. Got it. As horrorscope said, not concerned. I've been using computers for over 20 years now, and have run virtually every MS OS from DOS 6.22 on up (save for NT 4 and earlier). I have, on a couple occasions, got infected by ignoring my own paranoia-based security methods (forgetting to run suspicious executables in a VM, for example), but I've always caught it and removed it right away. If Steam proves a liability, then I'll be concerned. Until then, it's just fear-mongering.