औरत को ठंडे खाने से नफरत है।

A word-by-word breakdown is:

• औरत = woman
• को = a postposition here marking the experiencer, the person who has the feeling
• ठंडे = cold, in the oblique form
• खाने = food / meal, also in the oblique form
• से = with / toward / from, the postposition used with नफरत
• नफरत = hatred
• है = is

A very literal sense is:

• To the woman, there is hatred toward cold food

Natural English is:

• The woman hates cold food

Because Hindi often marks the person experiencing a feeling or state with को.

With नफरत होना, the pattern is:

• X को Y से नफरत है

So in this sentence:

• औरत को = the woman is the experiencer
• She is the one who feels the hatred

This is similar to other Hindi patterns where English uses a normal subject, but Hindi uses को:

• मुझे चाय पसंद है = I like tea
• उसे डर है = He/She is afraid

So को here does not mean to in a simple directional sense. It marks who has the feeling.

Because नफरत normally takes से before the thing or person that is hated.

The common pattern is:

• X को Y से नफरत है = X hates Y

So:

• ठंडे खाने से = toward / for cold food

This is just how the expression works in Hindi. English says hate something, but Hindi usually says have hatred from/toward something with से.

You will see the same structure in sentences like:

• मुझे झूठ से नफरत है = I hate lies / lying
• उसे शोर से नफरत है = He/She hates noise

Because खाना is followed by the postposition से, so it has to go into the oblique form.

Masculine singular nouns ending in -ा usually change to -े in the oblique:

• खाना → खाने

And adjectives that agree with them also change:

• ठंडा → ठंडे

So:

• direct form: ठंडा खाना
• oblique form before से: ठंडे खाने से

This is a very common Hindi pattern:

• अच्छा लड़का = a good boy
• अच्छे लड़के को = to the good boy

Same idea here.

Here it is a noun, meaning food or meal.

Even though खाना can also mean to eat as a verb infinitive, in this sentence it is clearly a noun because:

• it is modified by the adjective ठंडे
• it takes the oblique form खाने
• it is followed by the postposition से

So ठंडे खाने means:

• cold food
• or sometimes cold meal, depending on context

Hindi often expresses this idea as a state:

• X को Y से नफरत है
• literally, X has hatred toward Y

So नफरत is a noun, and है completes the sentence as is.

Hindi can also use a more verb-like expression:

• औरत ठंडे खाने से नफरत करती है

That also means The woman hates cold food.

The difference is small in many contexts:

• नफरत है sounds like a state or feeling
• नफरत करती है sounds a bit more verbal, like an action/habit of hating

Both are natural.

It can mean either, depending on context.

Hindi does not have articles like a and the. So:

• औरत could be a woman
• औरत could also be the woman

English translations have to choose one, but Hindi leaves it to context.

So this sentence could be understood as:

• The woman hates cold food
• A woman hates cold food

Context tells you which one is intended.

Yes, but not in exactly the same way as in English.

The normal order here is:

• experiencer + को
• thing hated + से
• नफरत
• है

So:

• औरत को ठंडे खाने से नफरत है

That is a very standard order.

A few important points:

• the adjective comes before the noun: ठंडे खाने
• the postposition comes after the noun phrase: ठंडे खाने से
• नफरत है usually comes near the end

Hindi word order is somewhat flexible, but beginners should learn this sentence as a set pattern:

• X को Y से नफरत है

Because है is just the singular present form of to be, and it does not change for masculine vs. feminine in this form.

So you get:

• उसे नफरत है
• उसे खुशी है
• औरत को ठंडे खाने से नफरत है

The feminine idea is not shown on है here.

If you used the version with करना, then you would see gender agreement:

• औरत ... नफरत करती है = feminine
• आदमी ... नफरत करता है = masculine

So the sentence with नफरत है shows less visible gender marking.

औरत is a common everyday word for woman. It is not grammatically strange here at all.

But learners should know the nuance:

• औरत = common everyday word, sometimes can sound a bit blunt depending on context
• महिला = more formal or polite

So you could also see:

• महिला को ठंडे खाने से नफरत है

That would sound more formal. The grammar stays the same.