O.K---are you selling the gun because money is tight right now(especially with a new addition to the family)If so,then sell it and buy her a bow to keep her happy.But remember,as others have mentioned,you will have to replace it eventually and if you want to buy the Omega anyways then go for it.
Maybe she figures you are hunting way to much and getting rid of your T/C will keep you at home that much more,something to consider as well.I think she is starting to figure all this out

Buy her the bow with the money you get from the T/C and put a lay-away on the Omega you want,should be an even trade-lol
There are alot of bows on the market to suit,and fit anyones needs.Just do a search and you will come up with donzens of options.
I am a great fan of bowtech so I will tell you the Rascal is a great bow.The mustang from Mathews is also good.Try looking into the Brownings as well as they make nice bows for beginners .Just remember to put good accesories on as well.