Today, because I feel very worried about the becomingfuture of our governmental institutions in France… and in Europe… and in the world, I decided to translate an old French song by Louis Chedid.

I kept "in the world" because of the nice repetition but I think "worldwide" is more common.

At that time, the far right was only just emerging in France.

So she constantly asks her: “Anne, ma sœur Anne, ne vois-tu rien venir ?” (Ann, sister Ann, don'tcan you see anything coming?)

Of course it's a song against racism but, unfortunately, as you'll see it, it's not against speciesism, which I regretis a shame.

"which I regret" implies it's your fault

If you want to listen to the song, here is a good and recent version I recommaend.

https://youtu.be/830mvn4MiTI?si=sbagRayWmOhgefiq ¶
¶
¶
Ann, sister Ann, ¶
If I told you what I see coming ¶
Ann, sister Ann, ¶
I can't believe it, it's like a nightmare ¶
Ugly cockroach ¶
¶
¶
Ann, sister Ann, ¶
As you were writing your logdiary, from the bottom of your cupboard ¶
Ann, sister Ann, ¶
You thought that we'd never forget… but ¶
Bad memory ¶
¶
¶
Here it is coming out of its den again, the nazi nostalgia ¶
Swastika, studded boots, and the whole panoply ¶
It's well established, it has adepts, a party ¶
Here it has come back, the historical hysteria!

"log" is only used for technical purposes, like "a ship's log" which records its coordinates, or a "log of daily temperature readings".

Ann, sister Ann, ¶
If I told you what I hear ¶
Ann, sister Ann, ¶
The same speeches, the same slogans, ¶
The same barks ¶
¶
¶
Ann, sister Ann ¶
I'd like so much to be able to tell you, you little martyrdom girl ¶
Ann, sister Ann ¶
You can sleep quietly, the vermin won't come back… but ¶
¶
¶
A lot of indifference, of inopportune patience ¶
For those old damned ones with a taste of déjà-vu ¶
A lot ¶
too much indulgence, too many good manners ¶
For this nazi nostalgia coming out of its den again, like yesterday

Today, because I feel very worried about the becomingfuture of our governmental institutions in France… and in Europe… and in the world, I decided to translate an old French song by Louis Chedid.

you can't nominilize "to become," it has to be a whole phrase (I feel worried about our governmental insitutions becoming right-extremist)
there is no exact one-word translation for what you are trying to express, so I just used "future"

The song speaks to Anne Frank and it uses the horror of a French tale named Barbe bleue (Blue Beard) by Charles Perrault, in which the woman at risk of being killed by her husband asks her sister Ann, if their brothers are arriving to save her.

So she constantly asks her: “Anne, ma sœur Anne, ne vois-tu rien venir ?” (Ann, sister Ann, don't you see anything coming?)

technically you cannot start a sentence with "so." This is a word you use to link two main clauses; this is only one.

Of course it's a song against racism but unfortunately, as you'll see it, i. It's not against speciesism, which I regret.,

Singular, countable nouns always have an article

"as you'll see" is an expression, no need for "it"

Here you have two main clauses. They need to be two seperate sentences or connected by a word like but, so, because, etc. (a clause consists of one subject and one predicat [verbs])

Bbut at that time we weren't aware of as many things as today.

"but" also has to connect two clauses. I will stop correcting this from here on because I'm guessing you chose this for stylistic reasons.

And that gives me hope.

Ann, sister Ann, ¶
If I told you what I hear ¶
Ann, sister Ann, ¶
The same speeches, the same slogans, ¶
The same barks ¶
¶
¶
Ann, sister Ann ¶
I'd like so much to be able to tell you, you little martyrdom girl ¶
Ann, sister Ann ¶
You can sleep quietly, the vermin won't come back… but ¶
¶
¶
A lot of indifference, of inopportune patience ¶
For those old damned ones with a taste of déjà-vu ¶
A lot too much indulgence, too many good manners ¶
For this nazi nostalgia coming out of its den again, like yesterday

"martyrdom" is the concept of being a martyr, "martyr" is a person who is martyred.