i'm not sure how we can blame eve's sin for the fact that women have a reproductive cycle.
while most women don't enjoy the unpleasant or annoying details of having menstrual periods, it is a necessary part of the gift that God gave us in child-bearing. i consider the miracle of conception and birth as God's perfect design of how we would fulfill His command to "be fruitful and multiply" in genesis 1:28 and generally speaking, to bring forth children, which God refers to as a blessing.
however, we know in genesis 3:16 that the fallout from sin is (among many things) includes the labor pain associated with childbirth.
To the woman he said, “I will surely multiply your pain in childbearing; in pain you shall bring forth children. Your desire shall be for your husband, and he shall rule over you.
while others may have differing opinions, that is mine.