Learn English – One word for “one who surrenders to his fate”

I think the best slang term I can think of is trooper.

Anyone who exhibits EXTREME perseverence, fortitude, and tenacity.

Usage:

• Bill has had cancer 4 times and is still in great shape, he's such a trooper.

Note: As Gnawme indicated in the comments trouper is an alternative spelling.

I also offer stoic, as it is someone who perseveres and does so without complaining.

noun noun: stoic; plural noun: stoics; noun: Stoic; plural noun: Stoics

1. a person who can endure pain or hardship without showing their feelings or complaining.

And since I cannot resist on using sports terms for everything. If this person were playing football, soccer, baseball, basketball, and they went through a lot of hardships and injuries yet still played on through everything they might be called a gamer.

Usage: Bob has a pulled hamstring and a beat up foot but he has played the last 3 days, he such a gamer.

You might say "one woman man", meaning for that particular man, there was only one woman. Usage: He was a one woman man, and after his wife died, he never remarried.

Equally you could say, "one man woman", meaning for that particular woman, there was only one man. Usage: She was a one man woman who remained single after her love married another.

In "one woman man", the phrase "one woman" acts as an adjective to describe the man.

In English I am unaware of a single word to convey the meaning you require, other than monogamous.

Additionally, in English, monogamous is not gender specific. A woman can be equally as monogamous as a man. Usage: Both Bill and Mary were monogamous. Luckily they were married to each other.