I'm thinking of shoving my wife after she wouldn't let me leave the room
Why would you want to shove her?
Because she is very demanding and forces me to stay in the room.
While it would be very wrong for you to shove your wife, it is also concerning that she is forcing you to stay in a room. Neither behavior is healthy or loving. Perhaps you and your wife should see a marriage therapist to help you work out this problem more productively.
I'm not going to be married much longer if it keeps up.
It might be a good idea to end the marriage if you both are doing things to hurt each other. To make a marriage work you need to talk not use violence.