If you approach management of this insurance agency and threaten to quit, you will be insuring the promotion of the owner's daughter. Topsiders do not respond well to threats, and voicing one could indicate to management that you are not ready for a promotion.
This does not mean that you should sit in the wings and say nothing. You should meet with your manager and be sure that he or she knows that you are highly interested in, and qualified for, the new position. Make sure that your manager has a clear understanding of your skills, expertise, accomplishments, and the way in which your background is a solid match for the position.
If you want to be promoted, you need to do some self-promotion beforehand. At the same time, if you do not receive the promotion, it may well be a sign that this family business is putting more emphasis on family than business. Rather than automatically quitting, you should express your concern to your manager and ask for his or her thoughts on the steps you should be taking in order to increase your likelihood of being promoted in the future. The response should let you know if the best policy with this insurance agency is for you to quit.
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