Entry #3 is most appealing to me because it looks like a seal and very official.
I do not like #2 and #1 because of the prominence of the red cross - the eye is drawn to the cross first and therefore does not effectively represent the practice.
I do not like the light blue background of #4 and #2.
I really like #7. Thought I've ranked it third, it's still in the running for the top. If I could enhance anything it would be to maybe introduce another color that was not as bold as the red. How would a "gold" work?
#7 is my favorite. Is there way you can incorporate something in the gold family into the design without emphasizing the cross in the middle. The cross is very suggestive of a medical practice and that is not what we are.
#22 looks great as well. Can you make the "inside" of the circle look like what you did in #23 (white psi with gold on top and blue on the bottom)? I don't know if that would look good, but I can't visualize it.
I noticed in one of your designs for another management copy there was a subtle star burst in the background. I'm wondering how that would look if included (or if it's just too much).
Great, happy to know that you like my designs. And these the revisions, #24 with white Psi and gold on top, blue on the bottom. #25 with subtle star burst in the middle circle.
It will be visible if the logo is big enough on the card. Here is revision with bigger text #31. Since your company name is too long, I think it can't be bigger than this. If we force with one step bigger than this, it will look unbalanced between the symbol and the text.
My suggestion is you can use this #32 if you want to emphasis the company name.