Maybe you know some of this already...
Study art and composition. Study about and with the masters of both painting, photography, and sculpture. You'll learn about the rule of thirds, diagonal lines, S-curves, using the subject to lead your eye, contrast, lighting and the golden hour, back lighting and silhouettes, providing surprises to your viewer. Copy the style of the photographers you admire. Subscribe to
National Geographic.
Get the best equipment you can afford. Learn technique. You'll learn about f-stops, shutter speeds, ISO, white balance (your camera can't compensate for changes in light like your eye/brain can.), depth of field. Learn post-processing techniques.
Be in the right place at the right time. For wildlife photography, that means knowing about animals - their habits, their names, what's rare, special, unique, how to bait them, how to handle them. And it often means being brave - swimming, climbing, and bushwhacking and being able to travel. Put yourself in situations to get the one of a kind shot. Carry a small, high quality camera with you everywhere. Be patient, be stealthy, be ethical.
To become famous start entering contests, sell your photos at the local crafts fair, take pictures for hire, get a job with a magazine or newspaper. You may have to start small. Become a photog for your school yearbook (if they still make those things), or newspaper. You'll find out quickly, if people like your style. Try not to get discouraged, the jobs are limited.
... in researching for this answer, it was easy to find wildlife photogs, like
Andy Rouse.
National Geographic