Frustrations

I originally thought that I was going to start my internship this semester, in October. However, as things went on the placement I had set-up was starting to feel un-easy. Something didn't feel right to me so I listened to my gut and pushed everything back until January.
One of the reasons that I did that was because one of the places I wanted to work for was not taking interns until January. I had really wanted to intern at this location because it worked with chronically mentally ill individuals. Their main clientele consisted of individuals suffering from the following disorders: Schizophrenia, Bi-Polar, Borderline, Major Depression, Eating Disorders and Substance Abuse and a few others. I really thought that this place would give me the exposure I need to discover if that is the clientele I can handle working with. I called and set up an interview for this last Monday, yesterday I received the call that said I did not get the position. They chose the other girl because she had more experience with this clientele.
I was very disappointed and frustrated. This is the first time that I have ever not gotten something after an interview has been done. I know that could sound egotistical but it is the truth. That also means that for the first time I am really having to deal with the rejection of a job that I really wanted. The interview went so well and I really thought I was going to get it, but unfortunately experience always wins out in the end.
That is so frustrating! How can I gain the experience if I am not allowed to have the opportunity to gain the experience? I know there is more out there and that in the end this just means this was not the right place for me. I am trying hard to believe what I normally do - that everything happens for a reason. In practicum they tell us that you will get the client that you need, and I did. Now I just have to believe that I will get the internship that I need and I will. I know that I'll eventually find something, it has just been so frustrating. Also knowing that almost everyone I started the program with is graduating before the end of this year or have already graduated is hard too. I feel like I am behind even though I know that I am not. I chose to take this slow course and in many ways I am glad that I did, but sometimes I still feel like others are looking down on me for not being done sooner.
Anyways, to try and end on a better note, I know that I will find something and I am really thinking hard about what places to intern at. I want to push myself and be open to everything because that is how I will get the best experience. I just have to be patient.