Eu acabei de enviar o e-mail e agora espero a resposta.

Acabar de + infinitive is the normal Brazilian Portuguese pattern for having just done something.

So:

• acabei de enviar = I have just sent
• literally: I finished of sending, but that literal breakdown is not how it is understood

In this sentence, acabei is the 1st person singular form of acabar in the past, and enviar stays in the infinitive because it comes after de in this expression.

Very common examples:

• Acabei de comer. = I just ate / I’ve just eaten.
• Ela acabou de sair. = She just left.

Because the sentence is using the structure acabar de + infinitive, not a simple past tense by itself.

Compare:

• Enviei o e-mail. = I sent the email.
• Acabei de enviar o e-mail. = I just sent the email.

With acabei de, the idea of very recent completion comes from acabei de, so the second verb stays in the infinitive:

• acabei de enviar
• not acabei de enviei

Yes, eu can be omitted.

Portuguese often drops subject pronouns when the verb already makes the subject clear:

• Eu acabei de enviar o e-mail...
• Acabei de enviar o e-mail...

Both are correct.

Including eu can:

• add emphasis
• make the sentence clearer in context
• sound slightly more explicit

In everyday Brazilian Portuguese, leaving it out is very common unless there is some contrast, like:

• Eu acabei de enviar, mas ele ainda não respondeu.

Portuguese uses definite articles more often than English does.

So o e-mail is completely natural, even where English might simply say email or the email, depending on context.

In Portuguese, if a specific message is understood, people usually say:

• enviar o e-mail
• receber o e-mail
• ler o e-mail

This does not sound overly definite the way it sometimes might in English.

For the same reason: Portuguese commonly uses articles before nouns when referring to something specific or expected.

Here, a resposta means the reply/the response that the speaker expects to receive.

So:

• espero a resposta = I’m waiting for the reply / response

Without the article, espero resposta is possible in some contexts, but it sounds less neutral and can feel more general or less standard in many situations.

Because the verb esperar normally takes a direct object in Portuguese.

So the standard pattern is:

• esperar algo/alguém
• Espero a resposta.
• Esperamos o professor.

English often uses wait for, but Portuguese usually does not need an equivalent of for here.

That said, esperar por or esperar pela does exist in Portuguese, but in Brazil the simple form without the preposition is usually the most straightforward and common in sentences like this:

• Espero a resposta.

Both are possible, but they are slightly different in feel.

• agora espero a resposta = now I wait for the reply / now I’m waiting for the reply
• agora estou esperando a resposta = now I am in the process of waiting for the reply

In Brazilian Portuguese, the simple present espero can often express what English would naturally say with the present continuous.

So espero here sounds natural and idiomatic.
If you say agora estou esperando a resposta, that is also correct, but a bit more explicitly focused on the ongoing action.

Agora means now, and it marks a change of stage or sequence:

• first: I just sent the email
• second: now I’m waiting for the reply

It helps organize the timeline very naturally.

You could move it around a little:

• Eu acabei de enviar o e-mail e agora espero a resposta.
• Eu acabei de enviar o e-mail e espero agora a resposta. (possible, but less natural)
• Agora eu espero a resposta. (fine in a different context)

The original position is the most natural.

Yes. In Brazil, e-mail is extremely common and natural.

You may also see:

• email (without the hyphen)
• correio eletrônico (much more formal, technical, or old-fashioned)

In everyday speech and writing, e-mail/email is what most people use.

Also note that people may say:

• mandar um e-mail
• enviar um e-mail

Both mean to send an email, though mandar is a bit more casual.

In careful pronunciation, it is roughly:

• eu a-ca-BEI dji en-vi-AR

A few useful notes for Brazilian pronunciation:

• de before a vowel is often pronounced like dji in many Brazilian accents
• e-mail usually sounds close to i-MEIL
• final r in enviar can vary by accent, but in this sentence the word is not final, so it is usually clearly pronounced

So in natural Brazilian speech, the start may sound something like:

• eu acabêi dji enviar...

That is only an approximation for English speakers, but it may help your ear.

Yes, absolutely.

• Acabei de enviar o e-mail = a bit more neutral or formal
• Acabei de mandar o e-mail = slightly more conversational

Both are very common in Brazil.

Similarly:

• Agora espero a resposta.
• Agora estou esperando a resposta.

These are also both correct, with small differences in style or nuance.

Espero is the 1st person singular of the present indicative of esperar.

Conjugation:

• eu espero
• você espera
• ele/ela espera
• nós esperamos
• vocês esperam
• eles/elas esperam

In this sentence, the present tense refers to the speaker’s current situation: after sending the email, now they are waiting for the reply.

Yes, it is very natural.

It sounds clear, standard, and idiomatic in Brazilian Portuguese.

A Brazilian speaker might also say:

• Acabei de enviar o e-mail e agora estou esperando a resposta.
• Acabei de mandar o e-mail e agora espero a resposta.
• Acabei de enviar o e-mail; agora é só esperar a resposta.

But the original sentence is perfectly normal and correct.