the father introduces his daughter to the public

I have yet to attend a debut in which the father of the debutante formally introduces his daughter to the public during her grand entrance. In most parties, it's the host or emcee that does the introduction. A more appropriate thing to do is to let the debutante's father do the announcement for that is after all, the real purpose of the party. The debutante's father, getting the cue from the host, can say, "Ladies and gentlemen, may I present to you, my daughter, (her name)."