Family feuds... is there a path that walks through the fire without burning oneself?
I wonder at the word forced. What is forcing you not to see your god-mother whom you love? You say you are forced out of deference to your mother, but since you put the word in quotes I think you realize that nothing is forcing you. This is your choice. I wonder about the motivation for such deference to your mother... Is it motivated out of a sense of obligation or duty? Is it motivated out of compassion for your mother? What of the compassion for your god-mother?

One practice that I've found beneficial is the practice of equanimity. That is looking at ones friends vs enemies or close acquaintances vs strangers and looking at where the distinctions we make are coming? What motivates these distinctions?

When we choose to act based off of distinctions of "friend vs enemy" or "close acquaintance vs stranger" often times our actions are non-virtuously motivated by personal considerations. All beings at root desire to be happy and to avoid suffering. We are all the same in this way. In this way, all are worthy of our compassion.

In the end, we can't control how other people will react to our actions. The only thing we can hope to control is our own actions and to try and ensure that our actions are virtuously motivated. The desire to make people happy with us is very different from the desire to make people happy, right?

I guess my best advice is to really look and see whether your acquiescence to your mother's desire for you to stop talking to your god-mother is actually making her happy? Is it actually making you happy? Is it actually making your god-mother happy? Or is it only serving to make your mother temporarily happy with you? Is that well-motivated?