You have hit upon one of my favourite subjects. I agree with what jcdeboever has said.
In #1, there is too much clutter in the image. The foreground brown twigs and the grass sticking up spoil the image. You need to isolate your "subject" much better and use an f-stop that will throw the background out of focus. I would have cleared out all the "clutter" in front of the flower before photographing it. Also, watch for shadows on the flower that may be caused by other elements of the image that may not even be in the actual image. I would have also picked a better flower. This one has bent up and brown ends on some of the petals, although some would call that "character". In the end, it is up to you which flower you choose and why.
In #2, I would have filled the frame with the subject. All the other stuff around it, the leaves and the stems, etc., are clutter.
As jcdeboever has suggested, walk around your subject, take a number of shots from as many different angles as you can. Remember, don't take an image just to "take" one. For me, if the image doesn't work, I don't bother, but go to another plant and see if it has something to offer that will work.
There are literally thousands of web sites that cover flower photography in some form or other as well as a number of YouTube videos. If you intend to adopt flowers as one of your favourite subjects, I would encourage you to spend a bit of time looking at some of them. You might want to start with a series of 3 web pages by Ron Bigelow -
How to Photograph Flowers -- Part I will get you to the first one and the references to the subsequent ones are at the end of each site. Other flower photography sites can be found by searching the web for "flower photography".
HTH
WesternGuy