Is this your idea of displaying your best trophy? This isn't about her, it is all about you. You are thinking that she is for display, for showing off to other guys so all those guys will think you are someone so special to have gotten her.
Frankly, I don't see where this builds the love and trust in a close relationship. How will she respect you for showing her off? You might seriously work to discover what she wants from her relationship with you. If she is a gem, then treat her as precious and don't put her out for the wolves. She's not like the hot car you show off to your friends to make them jealous. She is more like a private treasure for you to

cherish and protect.