"He hesitates to love her passionately."

Translation: Anh ấy lưỡng lự yêu cô ấy một cách nồng nàn.

[CeeCeeSong]

so what is the literal translation of this sentence? "He hesitates to love her in a passionate way"??? because it has "mot" in there, so must be a noun phrase.

[GiaLang3]

"một cách" is adv. Ex :

Passionately (adv) : [Một cách] nồng nàn.

Silently (adv) : [Một cách] lặng lẽ.

Untidily (adv) : [Một cách] bừa bãi.

[Polypsyches]

So... what is Ahn ta? It's indicated as an alternative answer in the multiple choice, but every other time I've seen it, it's been wrong. Does it have a different nuance?

[Huy_Ngo]

Maybe you were marked wrong for typo - it's 'anh ta', not 'ahn ta'.

[Polypsyches]

No, that was a typo in my comment above, sorry for the confusion. Every time I have seen "Anh ta" before, it has been in a multiple-choice exercise, and every time it has been listed as an option, that option has been a wrong answer. This is the first (and so far only) time I have encountered a multiple-choice exercise in which one of the "correct" options included the term "Anh ta".
I looked it up and Wikipedia says that it's more informal?

[Huy_Ngo]

Well, there is a slight difference, but not significant at all. They are interchangeable. You may want to report that.

[Peter838383]

Anh ấy lưỡng lự yêu cô ấy đam mê.
This should be accepted as well

[GiaLang3]

<h1>Peter83... In this sentence, "Passionately" is an adverb, so you must add "một cách" : Một cách nồng nàn (/đam mê /dữ dội /...)</h1>