First, it's complicated.
I support abortion rights 100%. That part is not complicated.
But I feel that there is no solution, either full abortion rights with almost no restrictions or complete prohibition of abortion and nothing in-between, that is can possibly be "fair" to all involved.
For instance, if a woman wants an abortion but the father of the embryo wants to have that child the woman gets to end the pregnancy and deprive the father the opportunity to have a child. That is not fair.
Or, if a man does not want a child, is not prepared for being a father, has other life goals etc. but the woman wants to keep the pregnancy the man is liable (at the very least) for a portion the expenses of having and raising that child. He has absolutely no say in the matter. That's not fair.
So with full abortion rights a woman's rights her choices have total supremacy over the man's rights in the matter.
However, with total prohibition of abortion a woman has no say in her body being used to bear a child. While pregnancy lasts 9 months, it isn't as simple as that. It isn't over after 9 months even if the child is given up for adoption. I'm not going to try to attempt to list all of the consequences beyond just being pregnant, because there is no way I could do such a list justice. Needless to say, forcing a woman to carry an unwanted pregnancy is not fair. And on a scale of fairness, it is much much more not fair than the situations I listed above that pertain to men.
I specifically didn't talk about the fetus because I honestly do not think a fetus has any rights and I personally do not care if a pregnancy is carried to term or not as far as the fetus is concerned. The rights and concerns of the living people involved completely outweigh that of the fetus.