Com esse barulho, eu não consigo ouvir você direito.

Yes—literally, direito can mean right, straight, or upright. But in this sentence, ouvir você direito means to hear you properly / clearly / well.

So here, direito is being used in a very common colloquial way:

• Não entendi direito. = I didn’t understand properly.
• Não vi direito. = I didn’t see clearly.
• Não ouvi direito. = I didn’t hear properly.

It does not mean to hear you on the right side or anything literal like that.

Não consigo ouvir means I can’t manage to hear or, more naturally in English, I can’t hear.

The verb conseguir often means to be able to, especially because of circumstances or difficulty.

So:

• Não consigo ouvir você. = I can’t hear you.
• Não posso ouvir você. = I’m not allowed to hear you / I cannot hear you for some reason tied to permission or possibility

In many situations, não posso sounds less natural here, because the problem is the noise, not permission.

With com esse barulho, não consigo is exactly what you would expect:

• the noise is preventing me from hearing you.

Usually, ouvir is closer to hear.

In this sentence:

• eu não consigo ouvir você direito = I can’t hear you properly

Portuguese often uses:

• ouvir = to hear
• escutar = to listen

But in real Brazilian Portuguese, the distinction is not always strict. People often use ouvir in places where English might use either hear or listen.

For this sentence, though, hear is the best match.

Yes, te ouvir is very common and natural in Brazil.

So these are both possible:

• Eu não consigo ouvir você direito.
• Eu não consigo te ouvir direito.

Both mean the same thing.

A few notes:

• você is more explicit and can sound slightly clearer or more neutral.
• te is shorter and often more conversational.

In spoken Brazilian Portuguese, you will hear both a lot.
In fact, many Brazilians would probably say:

• Com esse barulho, eu não consigo te ouvir direito.

That sounds very natural.

Yes, it can be omitted.

Portuguese often allows the subject pronoun to be left out when the verb already makes the subject clear:

• Não consigo ouvir você direito.

This already means I can’t hear you properly.

Including eu adds emphasis, contrast, or clarity:

• Eu não consigo ouvir você direito. = I can’t hear you properly.

So both are correct.
The version with eu is perfectly natural, especially in speech.

In Brazilian Portuguese, esse is much more common in everyday speech than este.

Very roughly:

• este = this
• esse = that / this near the listener / something already present in the situation

But in real Brazilian usage, esse often covers a lot of the territory that this and that cover in English.

So com esse barulho simply means:

• with this noise
• with all this noise
• because of this noise

A Brazilian speaker would very naturally say esse barulho here.

They are related, but not identical in tone.

• barulho = noise, racket, loud or disturbing sound
• ruído = noise, but often more technical, formal, or neutral

In everyday conversation, barulho is very common when something is noisy and bothering you.

Examples:

• Que barulho é esse? = What is that noise?
• Tem muito barulho aqui. = It’s very noisy here.

So in this sentence, barulho sounds natural and conversational.

Yes. Portuguese allows some flexibility.

The original sentence:

• Com esse barulho, eu não consigo ouvir você direito.

You could also say:

• Eu não consigo ouvir você direito com esse barulho.
• Não consigo ouvir você direito com esse barulho.

All of these are natural.

The version with Com esse barulho at the beginning puts the noisy situation first, almost like setting the scene:

• With this noise, I can’t hear you properly.

That fronted phrase sounds very natural in both Portuguese and English.

It is very normal and appropriate.

Com esse barulho is an introductory phrase. In writing, Portuguese often uses a comma after that kind of opening phrase, especially when it sets up the context.

So:

• Com esse barulho, eu não consigo ouvir você direito.

looks natural and well punctuated.

In less careful or more informal writing, some people might leave the comma out, but the comma is a good choice.

Yes, possibly, depending on context.

The most direct meaning is auditory:

• the noise is making it hard for me to hear your voice

But in real conversation, não consigo ouvir você direito can sometimes imply:

• I’m not catching what you’re saying clearly
• I can’t make out your words well

So it can overlap a little with I can’t understand you well, but the core meaning is still hearing, not general comprehension.

If you wanted to focus more on understanding, you might say:

• Não consigo entender você direito. = I can’t understand you properly.

A few very natural alternatives are:

• Com esse barulho, não consigo te ouvir direito.
• Tá muito barulho, não consigo te ouvir direito.
• Não tô conseguindo te ouvir direito com esse barulho.

That last one uses não tô conseguindo, which is very common in spoken Brazilian Portuguese and means:

• I’m not being able to hear you properly
• more naturally: I can’t hear you properly right now

So the original sentence is completely correct, but everyday speech may sound a little like those variants.

Consigo is the first-person singular form of conseguir in the present tense:

• eu consigo = I can / I manage
• eu não consigo = I can’t / I’m unable to

Then it is followed by the infinitive ouvir:

• consigo ouvir = can hear
• não consigo ouvir = can’t hear

So the structure is:

• eu não consigo + infinitive

Examples:

• Não consigo dormir. = I can’t sleep.
• Não consigo entender. = I can’t understand.
• Não consigo falar agora. = I can’t talk right now.

This is a very common Portuguese pattern.