Hey ! With a general category NEET rank of around 9800, yes, getting OBGYN in a government college is possible, though it depends on the state and the competition that year. States like MP, Rajasthan, Gujarat, Punjab, Bihar, Jharkhand, Haryana may have government colleges where you can secure OBGYN with your rank. In highly competitive states like Delhi or Maharashtra, it might be tougher, so keep a backup branch in mind.

My suggestion: check state-wise counseling cutoffs, apply both for All India Quota (AIQ) and state counseling, and keep alternative options ready just in case. With careful planning, you definitely have a chance!