Vi kan redde fuglen.

Because -en is the definite article attached to the end of the noun.

• fugl = a bird / bird
• fuglen = the bird

This is very common in Danish. Instead of putting a separate word before the noun, Danish often adds the definite ending to the noun itself.

Other examples:

• en bil = a car
• bilen = the car
• en hund = a dog
• hunden = the dog

So fuglen means the bird.

Word by word:

• Vi = we
• kan = can / are able to
• redde = save / rescue
• fuglen = the bird

So the sentence structure is very close to English: We can save the bird.

Because after a modal verb like kan, Danish uses the infinitive without at.

• kan redde = can save
• not kan at redde

This is similar to English, where you say:

• can save
• not can to save

In Danish, at is often the equivalent of English to, but it is not used after modal verbs like:

• kan = can
• vil = will / want to
• skal = shall / must / be going to
• må = may / must
• bør = ought to

So Vi kan redde fuglen is correct.

No. Danish verbs are much simpler in this way. Kan stays the same for all persons.

• jeg kan = I can
• du kan = you can
• han/hun kan = he/she can
• vi kan = we can
• I kan = you can
• de kan = they can

So you do not need to learn different forms like in many other languages.

Redde is the infinitive form of the verb, the basic dictionary form.

You often see it:

• after modal verbs: kan redde
• with at in other contexts: at redde = to save

Some forms of the verb are:

• at redde = to save
• redder = saves / is saving
• reddede = saved
• har reddet = has/have saved

In this sentence, redde is used after kan, so it stays in the infinitive.

It can mean both, depending on context.

In Vi kan redde fuglen, the most natural English translations are:

• We can save the bird
• We can rescue the bird

If the bird is in danger and needs help, rescue may feel slightly more specific. If the idea is preventing harm or death, save may sound more natural. Danish redde can cover both ideas.

The basic order here is:

Subject + finite verb + infinitive + object

• Vi = subject
• kan = finite verb
• redde = infinitive
• fuglen = object

So:

Vi kan redde fuglen.

This is very similar to English: We can save the bird.

In Danish, yes/no questions usually put the finite verb first.

So:

• Statement: Vi kan redde fuglen.
• Question: Kan vi redde fuglen?

That means: Can we save the bird?

This verb-first pattern is very important in Danish.

You usually put ikke after the finite verb.

• Vi kan ikke redde fuglen. = We cannot / can’t save the bird.

So the pattern is:

subject + finite verb + ikke + infinitive + object

Examples:

• Jeg kan ikke komme. = I can’t come.
• Vi kan ikke redde fuglen. = We can’t save the bird.

A rough guide for an English speaker:

• Vi sounds a bit like vee
• kan sounds roughly like kahn or kan with a short vowel
• redde sounds roughly like REH-də or RETH-ə, depending on accent and how carefully someone speaks
• fuglen sounds roughly like FOO-glen or FOO-len, though the real Danish sounds are softer and less fully pronounced than English

A more important point than exact spelling-based pronunciation is that Danish often has:

• softer consonants than English
• reduced unstressed syllables
• a smoother, more compressed sound than learners expect

If you are learning pronunciation, it is best to hear the sentence spoken by a native speaker rather than rely only on spelling.

Because Danish usually marks definiteness by adding an ending to the noun:

• fugl = bird / a bird
• fuglen = the bird

So English uses a separate article:

• the bird

But Danish often uses a suffix:

• fugl + en = fuglen

There are cases where Danish does use a separate definite word, especially with adjectives:

• fuglen = the bird
• den lille fugl = the little bird

So in your sentence, since there is no adjective, fuglen is the normal form.

Yes, but it means something different.

• Vi kan redde fuglen = We can save the bird
  A specific bird, already known from the situation or conversation.

• Vi kan redde en fugl = We can save a bird
  Any bird, or one bird not yet specifically identified.

So the choice between fuglen and en fugl changes whether the bird is specific/known or non-specific.