PIP application

I'm a 67 years old widow, but still working. I've been receiving DLA since 1999 (Personal care at the lower rate, and Mobility at the higher rate), as I have arthritis in m hands, hips, spine and feet, which is getting progressively worse.
In January I was told that I had to now claim PIP, which I have done
I followed your guide to completing the PIP claim pack (I included corroborated evidence from my G.P, my employer, and members of my family who do tasks for me that I am unable to do. I even included some photographs of my arthritic hands)
I received a phone call this morning from a PIP 'assessor', who asked me a few questions regarding my depression (which I had only mentioned in my list of medications, and didn't go into in depth in my claim pack, as that isn't the reason for my disability). She seemed very nice, and asked would I mind if she added the info about my depression to my claim, which I agreed to. When I asked her when I would have to go for my 'medical' she told me that I wouldn't need to, as she was going to write up her report now, and send it off to the DWP, and I would hear from them in 4 - 5 weeks.
Now I'm worrying that I will be refused PIP, as I thought that everyone had to go for a face-to-face medical before a decision could be made?
Any advice please?

Thanks Gordon. It's just a case of wait and see now. My PIP form was very detailed. I followed the guide from this web site, and used the word 'reliably' quite frequently as you advised. Also, as you advised, I got letters from my G.P., my employer, and family members who know how my condition affects me. Thanks for your guidance. It definitely helped me complete the form. So fingers crossed for a favourable outcome.