I have taken a loan and now due to some differences my guarantor wants to resign.. how will this affect me?

Welcome to AMHD. I am not certain I understand your question. A guarantor is "A person who makes a legally binding promise to either pay another person's debt or perform another person's duty if that person defaults or fails to perform. The guarantor gives a "guaranty," which is an assurance that the debt or other obligation will be fulfilled. "
guarantor - legal definition (http://www.nolo.com/definition.cfm/term/613A4573-5D0C-4D34-ABF597958B07F65E)
You may have to provide another guarantor for this one to resign.

A guarantor CANNOT "resign" once the loan has been processed. The only way to get the guarantor off the loan is to refinance or get the lender to accept a replacement.

However, as long as you pay the debt, the guarantor has nothing to worry about.