Fallacy
Since my culture or family traditions specifically allows or demands that I eat meat, I am morally free or required to do so.
Response
It is easy to confuse culture and tradition with ethics, but these are all separate things, and it is important to understand them as such. There was a time when the keeping of slaves was culturally acceptable, but even so, it was not ethical. In some parts of the world, female genital mutilation is a traditional non-medical procedure, but it is not an ethical one. These are only two of many reasons why it is problematic to equate cultural and traditional practices with ethical behaviors.
Keep in mind that the purpose of cultures and traditions is not to eat specific foods or engage in specific activities. Rather, it is to strengthen family and community ties. This means that it is possible to participate in these things without compromising an ethic of compassion for all beings. Alternate foods might be prepared, and alternate activities might be engaged that permit you to stand your ground ethically, which might even help to encourage more compassionate cultural practices and traditions among your family and community. If you no longer want to participate in the slaughter of sentient beings, you have the power to make that change. You are your own person, and you are not required to follow cultural practices and traditions that contradict your ethics.