I have some (possibly) original results and advisor cannot help, how should I proceed?

Cold emails are very common in this situation, and not at all a bad idea. Indeed, I know of many cold emails that have turned into coauthored papers.

Adding to the answer from @user3482749 .

Be careful and professional in the (cold) email. Try to state what you found clearly early on. If you can refer to a paper written by the recipient, do. Many cold emails are of the "I solved the Collatz conjecture" variety and quickly end up in the trash. You don't want yours to be prematurely assigned to that category.

I have tossed many cold emails from cranks. But one led to a joint paper.