Both areas are compatible. For instance, bioinformatics is a rising field were there are a lot of job offers right now.
I can tell you about my experience.
I have a degree in biology and after I finished my masters I started learning how to write programs to analyse my own data.
Now, I'm getting my PhD in genomics were I need to write part of the software I use to analyse my data and, I also do some work in the lab.
At this moment it is relatively easy to find something merging both areas.
In my research group we are two biologists with self-taught informatics skills and one computer scientist with self-taught biology skills. So, don't freak out too much.
Wish you the best luck.