NUETERING SMALL YORKIE?

I HAVE A 1.5 YR OLD YORKIE WHO ONLY WEIGHS 2LBS. I AM THINKING OF NUETERING HOWEVER THIS IS REALLY CAUSING ME A GREAT DEAL OF STRESS DUE TO HIS WEIGHT. I UNDERSTAND THE HEALTH BENIFITS, BUT DO THEY OUTWEIGH THE RISKS FOR MY DOG? I WOULDNT EVEN THINK OF DOING IF HE WASNT MARKING ALL OVER MY FURNITURE AND VERY TERRITORIAL.