Hi,
In general tumors do not grow rapidly and waiting one month is not too long. However, if you are concerned, you can find another ENT specialist who could see your mother earlier.
If the lesion on the vocal chords are small, you can preserve the vocal cords and your mother will have a hoarse voice, but that will improve.
However, without more information, I cannot tell if your mother will need more extensive surgery
good question! I hope someone answers your question soon!
(this is exatcly why I came on here! we share the same exact question!)