Yes wine is fairly strong alcohol. I have heard of women getting chirrosis of the liver from drinking one bottle of wine a day in a year or two. It can kill you just the same as whiskey or vodka.
I didn't usually drink spirits and the delusion that I therefore couldn't be an alcoholic nearly killed me.
If you cannot stop drinking when you don't want to drink, you have a problem, however you wish to label it.
You say that you drink the wine to be nice to yourself but you also say that you feel groggy in the morning. Why would someone make themselves feel like that every morning to be nice to themselves?
Addictions always get progressively worse. If you are addicted, what will you be drinking in a year or two in the future?
Although you may not relate to alcoholics, many alcoholics will tell you they started just like you with their drinking.
I hope you find your answers soon. Good luck.