I'm not particularly supporting the argument concerning independence one way or the other. I just think that arguments on both sides should stand up to logical criticism. I'm not sure about the baby (I use that term because you did, it doesn't matter what we call it) being influenced by the mother's emotions and so on, but maybe you have inadvertently come up with something. It seems to me that in order to be influenced like that a certain stage of development is required. A functioning brain, maybe?
I'll set out my position on all this for your interest. Let's examine both ends of the pregnancy. It starts with a single cell. I can't see how any form of logic would give a single cell any consideration compared to an adult human female. At the other end of the process, there's a child waiting to be born. I don't see how it has any less rights just before birth as it will have just after birth. Now, having marked out the limits, so to speak, where do we start giving the baby/fetus rights, and what rights? That I think is a valid area for discussion. I'm prepared to consider suggestions, with support, but I insist that the woman's rights are included at all times.
I'll add that I think this is almost unique in the area of moral dilemmas. It has features that other situations lack, which is why most attempts to arrive at a solution logically tend to fail. Let us pray/hope for wisdom, as that has been sadly lacking to this point.