This is not a forum to get advice on HOW to tattoo. There are shaky lines and blowouts in that tattoo. You can’t fix them.

I'm a beginner tattoo artist and today i did this . I am really concerned about the blowing out of this tattoo because i see some blue underneath some lines. I read few articles and some say that it's normal. Will it blowout?Any advice? 

That is really rough. Nothing you can do now except wait a couple of months to see how it heals. I wouldn’t ever go back there.