Breastfeeding question/latch trouble

We went back to the lactation clinic today. My baby girl has a horrible time latching. It's near impossible. We even tried a bottle, and it took her 20 mins just to latch to that. Structurally she is fine, she just can't latch right. They gave me a hospital pump to use and syringe feed her until Monday and go back hoping my milk is more flowing. Has anyone heard of a newborn that can't latch to a bottle or breast who isn't tongue tied or has other structure issues?