אני לא אוהבת לקנא בחברות שלי; אני מעדיפה להחמיא להן כשיש להן חדשות טובות.

Because the speaker is female.

In Hebrew present tense, verbs agree with the subject’s gender and number. So:

• אני אוהבת = I (female) love / like
• אני אוהב = I (male) love / like

And:

• אני מעדיפה = I (female) prefer
• אני מעדיף = I (male) prefer

So this sentence is being said by a woman or girl.

חברות is the feminine plural form of friend, so it means female friends.

• חברה = female friend
• חברות = female friends
• חבר = male friend
• חברים = male friends, or a mixed group

So בחברות שלי means of my female friends / my female friends after the preposition ב־.

A learner should also know that חברה can also mean company, but here the context clearly means friend.

Because the verb לקנא normally takes the preposition ב־ in Hebrew.

So:

• לקנא במישהו / במישהי = to envy someone / be jealous of someone

Examples:

• אני מקנאה בך = I’m jealous of you / I envy you
• הוא מקנא באחותו = He is jealous of his sister

So לקנא בחברות שלי literally means to be jealous of my friends.

This is just something you need to learn with the verb:
לקנא ב־

Because להחמיא takes an indirect object with ל־.

So:

• להחמיא למישהו / למישהי = to compliment someone

Examples:

• היא החמיאה לי = She complimented me
• אני רוצה להחמיא לך = I want to compliment you

That means:

• להן = to them (feminine plural)

So להחמיא להן is correct.

By contrast, אותן is a direct-object form, and this verb does not use a direct object in Hebrew.

להן means to them for a feminine plural group.

In this sentence, it refers back to חברות שלי.

So you get:

• להחמיא להן = to compliment them
• כשיש להן חדשות טובות = when they have good news

Compare:

• להם = to them (masculine plural or mixed group)
• להן = to them (feminine plural)

Because חברות is feminine plural, להן is the right form.

Because that is a very common way to show possession in Hebrew:

• noun + שלי = my ...
• noun + שלך = your ...
• noun + שלו/שלה = his/her ...

So:

• חברות שלי = my friends
• literally: friends of mine

This structure is very common in everyday Hebrew.

There is also a shorter, more literary form:

• חברותיי = my female friends

But חברות שלי is much more natural in normal conversation.

Literally, it is something like:

• כש = when
• יש = there is / there are
• להן = to them

So כשיש להן חדשות טובות literally means when there is good news to them, but in natural English that becomes:

• when they have good news

This is a very common Hebrew pattern:

• יש לי = I have
• יש לך = you have
• יש להם / להן = they have

So Hebrew often expresses have using יש + ל־.

No. In this structure, יש does not change for person or number in the present tense.

So Hebrew says:

• יש לי = I have
• יש לך = you have
• יש לו = he has
• יש לה = she has
• יש להם / להן = they have

The word יש stays the same.

Only the pronoun after ל־ changes.

In Hebrew, חדשות is grammatically plural feminine, even though it often means news as a general idea.

So the adjective must agree with it:

• חדשות טובות = good news

Notice both words are feminine plural:

• חדשות
• טובות

Even if in English we think of news as a mass noun, Hebrew treats חדשות as a plural form.

If you want to talk about one piece of good news, Hebrew often uses:

• בשורה טובה = good news / a piece of good news / glad tidings

So:

• יש לי חדשות טובות = I have good news
• יש לי בשורה טובה = I have a piece of good news / good news to tell you

Yes, but the meaning changes slightly.

• אני לא מקנאה בחברות שלי = I’m not jealous of my friends / I don’t get jealous of my friends
• אני לא אוהבת לקנא בחברות שלי = I don’t like being jealous of my friends

The original sentence focuses on disliking that feeling or behavior.
It does not necessarily claim that jealousy never happens; it says the speaker does not like doing it.

So אוהבת + infinitive here gives the sense of:

• I don’t like to...
• I don’t like being...

Because Hebrew often uses מעדיף/מעדיפה + infinitive for prefer to do something.

So:

• אני מעדיפה להחמיא = I prefer to compliment
• הוא מעדיף לחכות = He prefers to wait
• אנחנו מעדיפים ללכת = We prefer to go

This is a very natural structure.

You could also make a fuller sentence with מאשר or another comparison, but the infinitive structure is simple and very common.

A natural pronunciation is:

Ani lo ohevet lekané ba-chaverót sheli; ani ma'adifá lehakhmí lahen kshe-yesh lahen khadashót tovót.

A few pronunciation notes:

• אוהבת = o-HE-vet
• לקנא = le-ka-NÉ
• חברות = cha-ve-RÓT
• מעדיפה = ma-a-di-FÁ
• להחמיא = le-hakh-MÍ
• חדשות = kha-da-SHÓT
• טובות = to-VÓT

Also, the letter ח is pronounced like a throaty kh sound, not like English h.

להחמיא is correct and natural: it means to compliment.

But in modern spoken Hebrew, another common verb in this kind of context is לפרגן.

• לפרגן למישהי can mean something like to be genuinely happy for someone, to give credit, or to speak positively/supportively about someone

So depending on the exact tone, a native speaker might also say something like:

• אני מעדיפה לפרגן להן = I prefer to be happy for them / give them credit

That said, להחמיא להן is completely good Hebrew and is easy to understand.