Hi! Congratulations on your new baby! Gosh, it seems like your baby is having a tough time. I have a couple questions. Is your little one on any reflux medication? The pain can definitely interfere with her sleep. Also, can you let us know what the typical daily routine is? What time does your day start? How often is she eating? What do you do as a wind-down ritual. For a 10 week old, a 3 hour routine is probably best. For example, your day would start around 7 am, and you would feed her. She can probably stay awake for about 1 - 1 1/2 hrs. You can then start your wind-down routine (quick walk outside, change diaper, sing song, close curtains), and use pat-shush to get her to sleep. The goal is to get her to learn to fall asleep on her own without needing you to walk her to sleep. You are just there for support. On the other hand, letting her cry on her own creates many problems.
Sorry that things are so hard. It WILL get better. If you have time, let us know some of those details, and we can see if we can give you more answers. (((HUGS)))