If distraction helps, what could be better than what amounts to basically learning a language?
When I am playing and it is clicking, all else falls aside. There are so many things like this for me that require deep concentration with no room for negative thoughts to enter in, things like driving fast, running rapids in a boat, difficult design work in my job, things that require full attention and being in the moment. Playing guitar is like that if I really work at it, and one hell of a lot less dangerous and expensive with almost no negative results from mistakes
My advice is seek some advice on selecting a guitar capable of playing the music you like, don't cheap out. Good equipment bought used is worth what you paid for it now and later if you decide it's not for you. Even if you take a loss on it, a 2-300 dollar loss on a 2000 dollar instrument is the same as a total loss on a 2-300 dollar instrument, except you get to play on a 2000 dollar instrument and that can make all the difference when learning. Don't buy junk thinking you will get better and buy a better one later. Junk can be flat hard to play and never sound good (maybe, but rarely). Well made and maintained guitars cost more, especially when bought new, but poorly made guitars are often more expensive because they cost you being able to learn and achieve the skills you seek.
I can't stress this enough, get a good instrument, you will not be sorry.
Learn some chords. Learn to hear the differences between this chord and that chord so you can hear the patterns between chords when listening to other players. find songs you like, figure out the chords and go from there.
I have played for forty years and there are days that I just plain suck at it and I have to stop before I get to hating it. Don't let it ever be something you have to do, find a point in your progress where it starts to get fun and keep it there. The desire to learn something that is difficult is good, frustration at how hard it is is bad. Don't try to nail it at first, get close and have fun, try this and that and learn the patterns and how to listen to another player and guess at what is happening, what they are doing, even if all you can do is identify the chord and get maybe one note in ten right.
I am leary of bands, the most fun I have playing with other people or for other people has been when I started playing with friends in conjunction with a barbecue or before and after a football party or just me and a friend exchanging licks.
It is great when you can hear a song that strikes you in a good way, go to your guitar and amp collection and know what set up will get you close to the tone, play the song off of Rdio or Pandora or spotify and figure it out and play along. A great way to get out of your head for awhile.
I would be glad to offer more advice if you need it, have fun!