Yes, you are eligible to pursue a BSc nursing degree even with a BA English background and 10 years of experience as an AnM nurse.

While a BSc nursing program typically requires a science background, many universities and colleges have relaxed their eligibility criteria to accommodate candidates with relevant experience, such as nursing diplomas or degrees. Your experience as an AnM nurse in operation theaters will be a significant advantage in your application.

Here are some steps you can take:

1. Research Universities and Colleges: Identify universities and colleges in Chennai or Coimbatore that offer BSc nursing programs.
2. Check Eligibility Criteria: Review the specific eligibility requirements for each university or college. Pay attention to any minimum GPA or experience requirements.
3. Prepare Your Application: Gather all necessary documents, including your BA English degree, AnM nurse certificate, work experience certificates, and any other relevant documents.
4. Write a Strong Statement of Purpose: Explain your reasons for pursuing a BSc nursing degree and how your previous experience will contribute to your studies.
5. Contact Admissions Offices: Reach out to the admissions offices of the universities or colleges you're interested in. They can provide you with more specific information and guidance.

Remember: While your experience and qualifications make you a strong candidate, it's always advisable to directly contact the institutions you're interested in to get a definitive answer based on their specific admission criteria.