She has already started telling all her friends. Should I worry about this? I have told some of my family and friends but only so I have people to support me.
You cannot control what W does, unfortunately. You can only control yourself.
I would recommend against trying to get anyone to "help her see that what she is doing is wrong". This never works. In fact, it can have the opposite effect of driving her farther away and causing more resentment.
It is important to have your family in your corner, but I would not talk badly about W in front of them. Their natural reaction will be to tell you to move on and that you deserve better. The reason they do this is because they do not want to see you suffering and in pain.
If you decide to stand for your marriage, I can tell you from experience that will be the last easy decision you will make.
Standing is a marathon. This will take a long time. You will get beaten up, dragged through the mud, and you will question why you are doing this. There will be a rollercoaster of emotions along the way.
Your job is to get as strong, as centered, and as grounded as you can. That is what will help you get through this.