if i asked you to 'fill' my cup, im sure you wouldnt keep pouring something into it once it was filled.
Unless the age menopause sets in is changed to around the same as puberty, it's irrelevant to the question. If nobody is dying and yet those in the fertile age range continue to reproduce, overpopulation will set in.
Arguably, humans
already are overpopulated, but immortality makes the issue exponentially worse.
The only possible solutions would be to magically create more space/food/whatever (admittedly not beyond the powers of an omnipotent deity), leave Earth and support overflow population in space habitats/other worlds/etc, or simply turn off the ability to procreate at all.
And of course the second option only postpones the problem. Given unlimited time and continued reproduction, the entire Universe wouldn't be large enough to support the human population. Only repeated magical Creation of new space or removal of the ability to procreate entirely would resolve the issue permanently.
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