Dear Sir or Madam,
I would like to apply for the position of French writer that you are looking for.
I am a French native speaker, currently living and working in Bristol, United Kingdom. I have good writing skills thanks to my academic background in social sciences, I feel that I have all the qualities required for the task proposed.
Moreover, my current placement allows me to spend time on personal projects, so I will be able to work quickly on your project.
Thanks a lot for your time and consideration, I hope I would meet all your requirements.
Sincerely,
Chloe