Hi I.,
Here is a link that discuss in detail what dysphagia is, how it is diagnosed, what causes it and how to treat it:
http://www.nidcd.nih.gov/health/voice/dysph.asp
If you haven't done so already, please ask your daughter for a referral to a speech therapist and an occupational therapist for an evaluation and treatment. My son also had feeding issues where he would pack his mouth with found and wouldn't swallow it. It turned out that he had oral motor planning issues, sensory processing disorder issues (where his mouth felt like it had novocaine in it constantly) and just didn't know the proper mechanics on how to chew and swallow his food. I found a wonder speech therapist and occupational therapist who worked in the same office who worked together as a team to help him be able to overcome this issue. We started treatment when he was 3-1/2 and, by the time he was 4-1/2 or 5, he was eating a wider variety of foods with different textures and tastes, and he's now taking proper sized bites, chewing and swallowing with no problem.
I hope what your doctor says is true, that she'll eventually grow out of the dyshpagia but, just in case, I would ask for the referral and get her checked out by professionals who deal with eating and swallowing issues on a more frequent and hands-on-basis. Your doctor may not have any actual experience with dysphagia or maybe not enough and his recommendations to you may be based upon something that he read or that one patient he treated that eventually was lucky enough to outgrow it. And there may be more issues coming into play here with your daughter's eating issues that your doctor doesn't have the specialized training needed to be able to identify them. I guess for me, going through what I have been through with my son and seeing the results we have had with ST and OT, I just wouldn't feel comfortable adopting a wait-see attitude on this issue.
Wishing you all the best for you and your daughter. Have a wonderful holiday and new year.