אני רוצה לטפל בבעיה הזאת עוד היום.

Yes, אני can often be omitted in Hebrew if the subject is clear from context.

So:

• אני רוצה לטפל בבעיה הזאת עוד היום.
• רוצה לטפל בבעיה הזאת עוד היום.

Both can work in conversation.

Why? Because the verb form רוצה already strongly suggests I when the context is clear. Hebrew often drops subject pronouns more than English does.

That said, keeping אני is very common when:

• you want to be clear,
• you are starting a new sentence,
• you want emphasis, as in I want to deal with this today.

So this sentence with אני sounds completely natural.

רוצה means want here.

The structure is:

• אני רוצה... = I want to...

It also gives gender information, but only in pronunciation, not in normal unpointed spelling:

• masculine singular: רוֹצֶה = rotze
• feminine singular: רוֹצָה = rotza

Both are usually written the same way: רוצה.

So from spelling alone, this sentence could be said by either:

• a male speaker: ani rotze letapel...
• a female speaker: ani rotza letapel...

לטפל is the infinitive, meaning to treat / to handle / to take care of.

After רוצה (want), Hebrew normally uses an infinitive, just like English uses to + verb:

• I want to handle...
• אני רוצה לטפל...

Breakdown:

• ל־ = to
• טפל = the verb root/form base here
• לטפל = to handle / to treat

This is a very common pattern:

• אני רוצה לאכול = I want to eat
• אני רוצה ללכת = I want to go
• אני רוצה לטפל = I want to handle / take care of

Because the verb לטפל usually takes the preposition ב־, which in this context means something like with / in / with regard to.

So:

• לטפל בבעיה = literally to handle/treat in the problem
• natural English: to deal with the problem or to address the problem

This is something you mostly have to learn with the verb:

• לטפל ב... = to take care of / deal with ...

More examples:

• לטפל בילד = to take care of a child
• לטפל בלקוח = to attend to a customer
• לטפל בנושא = to deal with an issue/topic

So the ב־ is not optional here.

It most naturally means deal with the problem, handle the problem, or address the problem.

It does not necessarily mean the problem will be fully solved. It focuses more on giving it attention or taking action.

So:

• לטפל בבעיה = deal with / handle / address the problem
• לפתור את הבעיה = solve the problem

That distinction is useful:

• אני רוצה לטפל בבעיה הזאת עוד היום.
  = I want to deal with/address this problem today.
• אני רוצה לפתור את הבעיה הזאת עוד היום.
  = I want to solve this problem today.

Sometimes either one could fit, but לטפל is broader and less final than לפתור.

In Hebrew, demonstratives like this usually come after the noun.

So:

• הבעיה הזאת = this problem
• literally: the problem this

This is normal Hebrew word order.

Breakdown:

• בעיה = problem
• הבעיה = the problem
• הזאת = this (feminine singular)

Because בעיה is feminine singular, the demonstrative must match it:

• הבעיה הזאת = this problem

Compare:

• masculine singular: הספר הזה = this book
• feminine singular: הבעיה הזאת = this problem
• masculine plural: הספרים האלה = these books
• feminine plural: הבעיות האלה = these problems

Yes. Both הזאת and הזו can mean this for a feminine singular noun.

So both are possible:

• הבעיה הזאת
• הבעיה הזו

Both mean this problem.

A few notes:

• הזאת is very common and standard.
• הזו is also standard and very common in speech.
• In everyday modern Hebrew, many speakers use both, depending on style and habit.

For a learner, הבעיה הזאת is a very safe and natural choice.

עוד היום means something like:

• later today
• still today
• before today is over
• as early as today, depending on context

In this sentence, it gives a sense of urgency:

• אני רוצה לטפל בבעיה הזאת עוד היום.
• I want to deal with this problem today, before the day ends.

It is a little stronger than just היום.

Compare:

• היום = today
• עוד היום = still today / later today / before the end of today

So עוד היום often suggests: not tomorrow, not later — today.

Yes, Hebrew word order is somewhat flexible, but the original sentence is very natural:

• אני רוצה לטפל בבעיה הזאת עוד היום.

This puts the time expression at the end, which is common and neutral.

You may also hear variations like:

• אני רוצה עוד היום לטפל בבעיה הזאת.
• עוד היום אני רוצה לטפל בבעיה הזאת.

These are possible, but they shift emphasis:

• עוד היום אני רוצה... emphasizes today
• אני רוצה... עוד היום sounds more neutral and natural in many contexts

So for learners, the original order is an excellent default.

Yes, בעיה is a feminine noun.

That is why the demonstrative must also be feminine singular:

• הבעיה הזאת = this problem

You can often recognize feminine singular nouns by endings like:

• ־ה
• ־ת
• sometimes ־ית

But this is only a tendency, not a perfect rule.

Here the important thing is simply to memorize:

• בעיה = feminine
• therefore: בעיה גדולה = a big problem
• הבעיה הזאת = this problem

Not:

• הבעיה הזה ❌

because הזה is masculine singular.

No. לטפל את הבעיה is not correct.

The verb לטפל requires ב־, not a direct object marker את.

So:

• לטפל בבעיה ✅
• לטפל את הבעיה ❌

If you want a verb that takes את, use a different verb, for example:

• לפתור את הבעיה = to solve the problem
• לתקן את הבעיה = to fix the problem

This is a very important Hebrew pattern: some verbs require specific prepositions, and you cannot replace them with את just because English has a direct object.

A natural pronunciation would be:

• Ani rotze letapel ba'aya hazot od hayom
  if the speaker is male

or

• Ani rotza letapel ba'aya hazot od hayom
  if the speaker is female

A few pronunciation notes:

• בבעיה sounds like ba'aya
• the ב־ and the noun blend together
• הזאת is often pronounced roughly hazot
• עוד היום is od hayom

So the whole sentence flows quite smoothly in speech.