TLDR: It means "poor people".
This question needs additional context, but it sounds like you are trying to understand a specific quotation.
Parentheses can have several functions in written material and especially when one writer is quoting another.
Parentheses can show a clarifying word that is optional in the sentence
In this sentence,
The sustainer of the poor (people)...
the parentheses are helping clarify the meaning of the word "poor", to help the reader tell the difference between the following possible meanings.
(Let's rephrase the sentence, slightly, with a subject and verb, to make the following examples read more clearly.)
- This society is the sustainer of the poor people (in this area).
Versus
- These aid payments are the sustainer of the poor countries.
Versus
- This hurricane is the sustainer of the poor weather.
The word "people" in parentheses is not really necessary because the phrase "the poor" is widely understood to be a noun, meaning "people with little money".
It can also be an adjective, such as in "poor countries" or "poor weather", but in most cases, "the poor" automatically means poor people.
When you use parentheses in this way, the parentheses are optional
Importantly, when you use parentheses in this way, the parentheses are optional. The following are considered to have the same meaning (either as a noun, or a noun-phrase).
The poor
The poor (people)
The poor people
Parentheses can have other functions
As you mention, a parenthetical phrase can serve as an explanation, with or without "i.e.,"
He hoped to meet the winner of the election (Kennedy).
He hoped to meet the winner of the election (i.e., Kennedy).
She hoped to have time to do one of her favorite activities (meeting new people and exploring local cuisine).
She hoped to have time to do one of her favorite activities (i.e., meeting new people and exploring local cuisine).
Without "i.e.," you can drop the parentheses and use a different separator, but some kind of separation is required:
- Yes: He hoped to meet the winner of the election (Kennedy).
- Yes: He hoped to meet the winner of the election, Alice Kennedy.
- Yes (but awkward): He hoped to meet the winner of the election, i.e., Alice Kennedy.
- No: He hoped to meet the winner of the election Kennedy.
- No: He hoped to meet the winner of the election Alice Kennedy.
When you use parentheses this way, they [or a different separator] are NOT optional
This example answers the second part of your question -- is it okay to write this:
The sustainer of the poor (God)
Yes, this is okay, but you must leave the parentheses in, or use another separator like
- The sustainer of the poor, God.
- He prayed to the sustainer of the poor, God.
Unless you want to mean:
- The sustainer of the poor God
which is probably not what you mean (this sentence construction reads like blasphemy to some people).