Is the name male an acceptable an error on a birth certificate?

The term "male" placed in the gender section of the certificate may be acceptable and may not. The system for printing the birth certificate has always had glitches in more than just the gender section. It really all depends on how finicky you are about the situation. If it bothers you, ok. If it doesn't, same. Everyone has the right to call a meeting with the head of the system and have it changed.