Unsupportive mother and grandmother

Hi! I'll try to keep this short and not miss out important details.

On saturday we had our daughter's christening and I knew that it will be a difficult and tiring day for her and for me so I started the day by doing our morning routine (going to the park and having there the morning nap).

So far so good, I came home relaxed and so was my little girl. There were my parents, my inlaws and my sister. We started to prepare for the event and i explicitly told my mom to wait and not engage my daughter because I wanted to feed her and she's very easily distracted now (21 weeks). Of course, she didn't listen to a word I said and insisted to talk and wave at her, so I finished the little nursing that I did and started dressing.

Now, my mom was starting suggesting that she should be the one to bring my daughter to the church and of course I said no. I always wanted to be us (my husband and I) who give our daughter to the godparents. Of course she wasn't happy about that, her argument being that at my christening she didn't do that and I shouldn't care.

Fast forward to leaving the house, I put my daughter in the stroller, grab my husband by the hand and with the godparents leading the way we leave for the church (we walked). If only that was it, I was so happy for 5 minutes.

Of course she wasn't satisfied being behind us so she came and started walking alongside my husband, leaving me behind. Everybody else was behind, my inlaws, my father and my sister. Seeing that I asked her to go to her husband and be with everybody else ans leave us to go together. She wasn't happy about that but she did it.

We arrive at the church and position the stroller with the baby in the middle so that she can be seen by the guests, I stay near her with my husband an of course, there comes my mom. At this point I started getting angry and I asked her "please, go to your husband and leave us have our day, the other parents and letting us have our moment". And that was it, she got furious, told me that this is the last time that she will be there for me and went to sit with my dad.

Of course, I was hurt but I wanted to be happy for my daughter, with it being her day and I quickly forgot.

We had a beautiful ceremony, It was one of the happiest days of my life. But it would have been even more happy if my mom was more supportive.

The whole ceremony she didn't lift her head to look and anything, at her granddaugher's christening, after the ceremony she refused to stay for pictures, so my daughter has a photo with only my dad and at the party she was so angry that the guests started asking me questions. At some point I caught her saying that she wants to leave because she doesn't like it there. I was heartbroken for my daughter. So I went to her and asked her if she can behave, for my daughter's sake. She said no and got into a fight with me, yelling and embarasing me in front of the guests, calling me mean and selfish and acusing me of ruining her day and said that she would never forgive me.

My husband was furios, my dad started apologizing for her and my sister tried to calm her.

When they left I still had a little hope that she will see she is in the wrong and apologize, but no, she left without even saying goodbye.

Please, say your oppinion about this so that I can see some objective points of view.