Wow, okay. This is very interesting. Good job and your English isn't that bad at all. Believe me, I've seen worse and this is quite good in my opinion. It isn't perfect but compared to others? This is way better. I'm looking forward to the next chapter! Thumbs up! :)

your english isn't bad, but it is slightly hard to understand in some spots. i understand english isn't your best language, so might i suggest maybe finding an editor whose first language was english? it would help. other than that, though, its really good so far. please continue the story!

"And English is not my mother language, so if you read something weird or a mistake, please tell me. I'm practically pulling this idiom out of my a**, hope is not very embarrasing. Thaanks :)"
I'll go easy on you.

"Anna Godoy was waiting outside the airports gates, siting in a hard plastic chair and drinking from a coffe so black she was sure it was giving her a ulcer with every sip. It was nearly midday and she was working her way through her third cup. The airport was bullicious at this hour, and Anna looked boringly how the people moved around like bees in a hive. She shiged, took another sip and cringed at the strong taste. It was a holy miracle that she wasn't already dead."
Okay, coffe is 'coffee,' shiged is 'sighed,' and bullicious isn't even a word. Replace it with 'busy' or a similar word. Mistakes like these are scattered throughout this story (e.g philosofical instead of philosophical, cristal instead of crystal). Also, for this paragraph specifically, why would she keep drinking something so nasty? Its not really a problem, but I personally found it odd.

""Godoy for the love of Freud, stop drinking that shit." Anna looked slowly to her partner. "You're going to kill yourself.""
The problem with this line is that you don't actually tell who said these lines. I didn't even know it was supposed to be Kristoff until the next sentence. Just adding the words, 'said Kristoff,' would be a big improvement.

The conversation about Freud is a bit odd, but not out of place,

"Anna turned to him sharply. "Must you be so smartass?""
Yeah, the fact that you're not a native English speaker is pretty obvious. The correct way to say that would be, "Must you be such a smartass?" That being said, the fact that you're even writing a story in a non-native language is impressive.

All the mistakes past the last line that I quoted are in the same categories as the ones I mention above. There are many spelling, grammar, and word choice errors that are definitely because you're non-native. There are free spellcheckers available on the web. Use those to correct spelling. After that, look for a beta reader to correct the other issues.

As for the plot, it certainly has established some mystery. While it's still a little cliche, it's better than a lot of beginnings I've seen on this site. You've got plenty of potential here. One thing that I would add though is the airport's location. Is it in Europe? America? Is it in a city? I don't know what to picture. Give your reader an image.

Overall, even with the spelling and grammar issues, this is, so far, better than many many other stories on this site. That's very good for a non-native speaker. Keep going and I hope you improve your English fluency.

Awww start of a great story so excited for it

I can't imagine Anna drinking black coffee. I see Elsa more as the broody detective type