Learn English – He/Him/His VS She/Her/Her

This belongs in the realm of style. If the people in examples are always male, then that tends to create a sense that we are excluding half the human race. When I need to use examples in any written communication or documentation, I use "she" in some examples and "he" in others. Always consistently, of course; the same example person does not shift between being a "he" and "she".

Traditionally, English used male pronouns in hypothetical examples about imaginary people. "Let he who is without sin cast the first stone." Using female examples is a modern way of eliminating sex bias from writing.

In writing from fifty or more years ago, you will not easily find these feminine examples. The male bias in the language used in the media decades ago is almost shocking.

For instance, take a look at page 8A in the advertizing section of the March 1940 Popular Mechanics. We find this:

In fact probably most of the men who study law today have no idea of taking the bar examination or becoming lawyers---they want law training to give the mastery of men and situations in business. You know that: (1) the man with legal training is a leader---not a follower [ ... ] (4) Many executive places are filled by men who have studied law. [...]

The words man and men appear in almost every sentence. The copywriter is devoid of any notion that women could study law or hold executive positions.

If Wikipedia can be trusted, it appears that there is no clear consensus on this topic.

Wikipedia's pronoun page says:

Possessive pronouns are used to indicate possession (in a broad sense). Some occur as independent noun phrases: mine, yours, hers, ours, yours, theirs...Others must accompany a noun: my, your, her, our, your, their...Those of the second type have traditionally been described as possessive adjectives, and in more modern terminology as possessive determiners. The term "possessive pronoun" is sometimes restricted to the first type.

The possessive determiner page also seems to suggest a disagreement:

The words my, your, etc. are sometimes classified, along with mine, yours etc., as possessive pronouns or genitive pronouns, since they are the possessive (or genitive) forms of the ordinary personal pronouns I, you etc. However, unlike most other pronouns, they do not behave grammatically as stand-alone nouns, but instead qualify another noun...

My personal opinion is that if possessive determiners don't stand alone as nouns, then they are just determiners and not pronouns.