The problem is a starting price of $110K isn't going to take away a huge load of Tesla's business.
If there will be a car that competes with the model 3 for technology, has better quality and is in the same price range, then Tesla might be in trouble, but i don't see that happening any time soon.
Except for maybe Chinese manufacturers like you mentioned, the thing is, here in the EU people don't really trust Chinese car manufacturers and i don't think there will be a big rush on them when they finally enter the European market, at least not in the first few years until the prove to be reliable. The first Chinese car is coming to Europe later this month if there is no delay, the Link & Co, not fully electric, based on the Volvo XC40 but they have gained very little interest so far.