Is it generally safe to walk through a field of cows?

City boy checking in.

So, this one time out on a hike in a semi-rural area, the trail opened out on a grassy riverbank kind of place, and there were a dozen or so cows between me and the path onwards.

Now, I mostly grasp which end of a cow the grass goes in, but that's about my limit; I have no real idea how they operate IRL.

I ended up carefully edging my way past them and gave them as much space as I possibly could, and got extremely stared at by all of them, who probably thought I was nuts.

Just out of curiosity - how careful did I need to be? Can you just like walk through the middle of them, or would that be asking for trouble?