If a poinsettia, it most likely looks wilted in response to the very cold temperatures a lot of Florida (and other parts of the southeast) have experienced recently. This is a semitropical plant and not tolerant of cold temperatures. If grown outdoors, it needs a pretty much frost-free environment in order to thrive - won't make it in zone 8 and only just marginally hardy in zone 9.

Small woody invasive species I pull out by the roots with a large set of pliers. There are also tools designed for pulling woody plants typically called something like a weed wrench that can be used for things a bit larger. If you cannot pull or dig it out, cut it to the ground after which you have a couple choices. For Japanese knotweed and larger woodies, I cut down and paint stumps with a brush strength herbicide. I am not an indiscriminate user of lawn and garden herbicides, but in this instance I think it is the lesser of two evils, and since I have more than 100 acres with lots of invasives, this is my only hope of removal. I have researched to find what won’t stay in the soil and wear protective equipment. Painting on cut stems uses less herbicide and in a very targeted fashion. Alternatively, cut them to ground level and then religiously check for sprouts every week or so. Remove the sprouts. Continue this for a season or two, or for Japanese knotweed, it might be longer. This will use up the plant’s stored resources without allowing it to replenish. But it only works if you are very, very consistent. IMO removing invasives from public land that adjoins your property is totally reasonable. But as I said above, don’t remove until you have a positive ID.

I tried to take better pictures. I hope this helps.

Top looks like a purple leaved Prunus. Second is a Dogwood.