It is all part of the adjusting stage which goes with a new younger sibling arriving.
I note that the problem is worse if the baby is breastfeeding. I had the same trouble when my second child was born. Feeding is such an intimate and close relationship between mother and baby that an older child feels completely left out and abandoned. She is frightened and anxious that her place with mummy is being superceded.
You arrive when this feeding is happening or about to happen and you are seen as the cause/catalyst for feeding the baby and she probably thinks that if you do not come the baby will not get fed and she can have her mother to herself. I would suspect that when Daddy comes home , he immediately makes a lot of fuss of his little girl and what she wants to do is skip you being there and go straight to having daddy to make life well again.
Could you change the time you visit so that it doesn't coincide with feeding time for the baby? Or could you engage with the little girl doing something that holds her attention; a game, drawing, stickers, so her her mother can quietly slide out of the room while she is so engaged and feed the baby somewhere else.
I found what worked best was reorganising the baby's routine so that, as far as possible, she was not fed when her older brother was around to see me doing it.