Yes, I would love to see a wild Lynx in the UK - however that is extremely unlikely.
They avoid people whenever possible, and are very good at that avoidance, that would include the likes of all farms and farmstock except in exceptional circumstances.
As far as a threat to humans, even in countries with native lynx, for practicable purposes, it's a non-event
I think in the 1980's a zoo in Matlock ran the European captive breeding programme, lynx were re-introduced from there to sites in Italy.
Lynx aren't really that big, in the UK prey items would include mammals such as rabbits, hares, smaller deer etc.