It's hard when your wife finds out about your gambling habit after a huge loss it will cause disagreement and quarrel, so tell this before the worse happens, you can't control your gambling all the time, there will come a time when you need to exceed your allocated time or lose money, you can talk your wife about it and will let you if you request to play in allocated time and money, you cannot keep a secret forever, better stop now or tell her about it.
Most people afraid to their wife since most likely their wife would force them to completely stop gambling, the thing is they're still want to gamble and don't want to get controlled by their wife. So they will keep gamble and hide it from their wife, this will make a trust issue between both of them which is not good. This is why consultant is very important in this matter, you should need a third party who have better answer than you both.
I agree with that trust issue if your wife finds out your problem instead of you telling them the situation, you can't control the outcome of your gambling activities in worse case scenario you can lose all your savings and that can start ruining your family, it's unacceptable for your wife that because of your gambling problem they will be involved and they will suffer. Though instead of 3rd party you can start telling the truth before things go behind your control.
For sure, if you can explain the situation, your wife might understand your case and if you are not that addicted yet, she can help in limiting the amount of money that you can use.
Much better to allow your wife to handle your savings good for money managements.