Unfortunately with Early Intervention, the child has to be significantly behind 50% in one area and 25% in two areas. The skills they have to prove at this young age make it hard to qualify (as you just experienced).
Besides working with her at home, can you sign up for a mommy and me class? In California, we have the Little Gym which encourages movement and singing. There are also classes offered though our cities.
If, at 18 months or two years, she is still not where she should be, fill out the paperwork and get her evaluated again through EI.
My middle son showed signs of delay both with his motor skills and speech. But the doctor kept on saying he was fine. Finally my mother, convinced me to get him evaluated at 2 1/2 years old. He qualified for two hours of speech and two hours of OT a week!
He is now 7 and above grade level in 2nd grade. His printing is messy (still working on the fine motor control) and he still qualifies for speech therapy but he is well on his way to not needing these services. So yes, kids can catch up in the end, some roads are just very long.....
Good luck....don't back down and follow your gut.