Realistic expectations: With half an hour daily, it'll take you about four to six months before you can really relax and play a couple of songs all the way through. The first two to three months are brutal - your fingers hurt, the strings cut into them, and you wonder why you're doing this. That's normal and it passes. After three months of regular practice, you've got the basics down and you can probably already play one or two simple songs, but only with concentration and slowly.
The thing is, "simple" is pretty relative. Switching between a few open chords like Em, Am, G - that comes relatively quickly. But playing it smoothly, without having to think long between chords, takes time. Plus: the older you are when you start, the more frustrating those first weeks can be, because you know through your impatience what music should sound like, but your hands aren't cooperating.
The best trick is to get some early wins. Learn a song right away that you really like - even if it's difficult. Sounds weird, but the motivation carries you through the exhausting phases. And don't be too hard on yourself - if you practice regularly, you make progress, even if you don't see it day to day.