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I'm looking for a manga telling the story of a woman who travelled from a distant land to marry a man from a different tribe. I don't recall their names; but the man is 12–15 years old and the woman is older. The setting is medieval-like. The artwork is very detailed, especially the clothing.

A few chapters later the people from the woman's tribe want to take her back because they didn't get any benefit from them.

The woman knows how to shoot a bow and arrow, how to knit clothes, and is good at hunting with bow and arrow while riding horseback.

A Bride's Story from Kaoru Mori.

From MangaRock:

Set in Central Asia in a rural town near the Caspian Sea during the 19th century, the story revolves around a young woman, Amir, who arrives from a distant village across the mountains to marry Karluk, a boy eight years her junior. The story unfolds among details of everyday family and community life. However, the peaceful atmosphere is disturbed when Amir's family demands to take her back to their village.

Here is a picture from the marriage; as you can see, the clothing is really well drawn and detailed:

And here is Amir hunting with a bow, riding on horseback:

Maybe your are thinking about A Bride's Story by Kaoru Mori?

Set in Central Asia in a rural town near the Caspian Sea during the late 19th century, the story revolves around a young woman, Amir, who arrives from a distant village across the mountains to marry Karluk, a young man eight years younger than her.