Deryck was travelling around the world looking for the best place where he wouldto live the rest of his life.

This time, Deryck comwas going through the Retame Kingdom when he decided to spend the night.

He stopped at a village tavern, ordered an ale and enjoyed the evening atmosphere.

One middle-aged man with thean axe and a red beard argues with an old man about something.

Remember your articles, you've forgotten them a few times in this piece.

Cruel Hand (that's the axe man's nameas the man with the axe was called) stated that all men from the village should gather together and go to the forest to finish off whatever itwas causesing the problems.

"that's the axe man's name" is grammatically fine, but I think "as the man with the axe was called" fits the storytelling style you're writing better.

Deryck approached to their table.

"approached" already has the meaning of "to" built in, so we don't write "to" with it.

Old man wWith confidence points the, the old man pointed a finger at Deryck's face and asks: "You are thea hunter, right?

"a finger" instead of "the finger" as you haven't previously mentioned a finger.

We need a help".

"help" as a noun is uncountable, so it doesn't take an article

Cruel Hand yells: "How on earth 1can one hunter will solve this?

When writing a story, it's more natural to put numbers into words than digits, especially numbers with short names like 1-12, 20, etc.

We even don't even know what we should expect!"

"Yes, but perhaps hwe'll fouind out and we will know what to do next".

Your character is talking about something in the future from their perspective so they should use "find" instead of "found", as found is past tense,

Deryck agreed to help the villagers.

They told him that somewhatthing captured their forest - all the beasts started to attack people without a reason.

"somewhat" is a modifier that means "a little". I think "something" is the word you were looking for.

Maybe it's a druid who rules the forest and doesn't like when someone reaches his territory.

Third person singular use "doesn't" instead of "don't"

HThe hunter thanked him for the information and went to finish thise mission alone.

"thanked" needs a target ("him" in this case). If you want to omit a target, you could say "the hunter said thank you for the information"

Deryck was travelling around the world looking for the best place where he wouldto live out the rest of his life.

This time, Deryck comwas passing through the Retame Kingdom when he decided to spend the night.

He stopped at village tavern, ordered an ale(,) and enjoyed the evening atmosphere.

After a few hours, he heard an intensive discussion.

One middle-aged man with the axe and red beard was arguesing with an old man about something.

Cruel Hand (that's the axe man's name)The man holding the axe, Cruel Hand, stated that all men from the village should gather together and go to the forest to finish whatever its causes theing problems.

The original, while correct English, is a little unnatural in the context of storytelling/creative writing

Deryck approached to their table.

Old man with confidenceThe confident old man points thea finger at Deryck's face and asks: "You a're the hunter, right?

We need a help".

Cruel Hand yells: "How on earth 1could one hunter will solve this?

We even don't know what we should expect!" Cruel Hand yells.

"Yes, but perhaps he'll fouind out and we wi'll know what to do next".

Deryck agreed to help the villagers.

They told him that somewhatthing captured their forest - all beasts started to attacking people without a reason.

Maybe it's a druid who rules the forest and doesn't like it when someone reachescomes into his territory.

Hunter (Deryck) thanked them for the information and went to finish this mission alone.