Biology is a huge field encompassing many many different specialties. It is really just an umbrella title covering all the areas of the study of living things. Marine biology is almost as broad, covering the study of all things living in the ocean, from aingle cell organisms through ocean living plants to fish to huge sea mammals. Most living things do not have fur, so you should be able to find many many jobs that avoid your allergies completely. Here is a site with a few examples of jobs for a biology graduate, together with links to organizations that can tell you more about the specialties:http://sciweb.hfcc.edu/biology/careers.biology.html
Many of the most interesting jobs of the future have not been invented yet. Many people invent their own field, often by taking the tools from two established fields and combining them in new ways to open new opportunities. In my own case I trained as a chemist, then did a PhD on studying biological molecules molecules using spectroscopic techniques developed to solve chemistry problems. When I got out of school I was interested in applying computers, especially microprocessors, to the study of chemical problems. I ended up having a career developing scientific instruments, applying the rapidly evolving microprocessors to ever more sophisticated chemical problems. Some of my fellow PhD classmates played important roles in sequencing the human genome. These ideas and careers were unimaginable when we began to study chemistry.
If you are attracted to the study of biology I encourage you strongly to pursue your interest. I am very confident you will find a career path that you can’t foresee now that will prove very satisfying.
I wish you every success!
Barrett L Tomlinson