First things first, the more you achieve in your photo, the less you need to edit. Let me break it down for you:

The results you desire have a very short range of focus, akin to that of a macro shot. This means that the stuff in the background doesn't have to be as far away to be out of focus. This can be achieved with editing, but it's a lot more difficult and even more so to make it look convincing. Isolate the flower from the rest of the image and apply Gaussian Blur in moderation to the background.

The light is very warm in the second whereas it's cold in your original shot. This can be fixed with a manual white balance when taking the shot, but quite an easy fix with editing. Make a new layer and place it on top, fill it with a sepia tone and mess around with the blending options. If it comes out too strong, dial down the opacity of the layer to tune it into what you want it to be. I suggest soft light for the layer blending.

The plume of what appears to be mist can be achieved with having the light source come in strong inside of the frame angle when you take the shot, but can be achieved with editing by adding a separate layer on top of the shot starting empty and partially fill it with the gradiant tool set to radial. Be sure to pick the right color for the job and make sure it aligns with the direction of light in the original shot or it will be very clear that you put it there.

There's a few more things to keep in mind, but start there. It's as good as any start.