Looks like we lived from the screenshot. I think the best strategy is to stay there and heal up. I don't see the health of the warrior, but it shows 2 of 3 warriors as the icon, so we should have a decent amount of health left (as in not enough damage to justify the time to walk back to our culture for a faster heal rate).
After that it looks like there are two coasts we could search along. That's making me wonder if this is an isthmus that will lead us to another team, or if we're staring down a peninsula that will be a waste of exploration turns. I don't think it makes sense to head in another direction yet. We'd clearly waste turns if we turned around, while we walk through previously explored land, and would likely have to spend some additional time healing from a battle with the 2nd lion. I think it's best to keep looking west.
Once we're healed 7 and 1 look like the best moves. I think I see a hill 3W from our current position, that should be our next goal, as a way to get good visibility and stay in defensible terrain. I'm not sure if there's any difference in the value of the coastal visibility between 1 and 7. I'd lean towards 1 as the next move, so that we can approach the hill 3W from us from behind the river. That will provide at least a small defensive bonus against a barbarian. Of course if any barbarians wander into our visibility while we're healing, that could change things.