Prominent Veins After Botox for Crow's Feet

Hi Chloerose.
We're sorry to hear about your bad experience with Botox. Although the events you describe, the Botox and injections and the appearance of the veins, may seem related, most likely they are not. The bruising caused by the Botox is one potential side effect, but should have resolved without the effects you describe. Since the veins are present on both sides of the face, it's even more unlikely these events are related.
Depending on how large the veins are, there are several options including:

Sclerotherapy
Laser Treatments

In all likelihood it is a coincidence that you noticed these veins. Botox does not cause changes to veins. The puncture occurred on one side and cause a small bruises. However, you say the veins are on both sides. So, that rules out the puncture as a cause just based on that information. However, a puncture does not cause a prominent vein anyway. You should focus your energy on the treatment of the vein and not look for people or reasons to blame. There are several treatments available, including laser, which may be effective for you. Just talk to your local plastic surgeon or dermatologist and they will be able to evaluate you. You may want to post pre and post Botox pictures and recent pictures with these veins if you would like more specific advice. Good luck.

Although you may be more aware of the presence of veins in this area, Botox is not known to cause increasing prominence of venous structures. I am not sure what is the explanation for what you are observing but it does not seem to be related from a medical standpoint.
I am sorry that I could not provide you with a better answer to your question.