What can I do to get my name in the birth certificate of my daughter?

It is a big mess. You will need a court order to amend the birth certificate.

If you are married this doesn't make sense why she would say no. What is she hiding? Opinion only not legal advice.

It should be there already. Have the wife insist upon getting a new one if it is not. You are presumed to be the father if you were married to the mother at the time of the birth. This is one of the strongest presumptions in Florida law.

You don't say what state your daughter was born in, but you need to start by contacting the appropriate state vital records department for information about how to have the birth certificate corrected. If you were married at the time of birth, the law in most states generally says that you are the presumed father and your name should be shown on the birth certificate unless both you and your wife sign statements stating that you are not the father. If the vital statistics office doesn't have a procedure to administratively fix the situation you may have to file a case in court, especially if your wife won't cooperate.