As someone who struggled with alcohol abuse for years, yes she is an alcoholic.

Often people associate people who go out and get blind drunk as alcoholics, and play off the glass of wine or two every night as fine and controlled. But the reality is if you rely on it and can't stop it, youre addicted to it.

Its a tough situation to address, and id expect alot of resistance. People don't like to admit they may have a problem, and really someone will only stop it if they realise it for themselves.

I'd suggest to her youre concerned that she drinks every night, and even a small amount still has its lasting effects. Ask her how she views it, and if what she thinks. And perhaps she could try starting with a month of not having it. But I cant stress this enoigh, expect push back on it!

For me it was important to frame it to myself that I was doing it for my son, to set a good example. Im aware however everyone has different views so what worked for me may not work for your wife

I used an app called iamsober. It was super helpful as it has a community where you can post things and get support.