Since it's a squeezed pot, and it's still multiway, it expects the BTN to have a very strong range for c-betting (KTo should not be part of his range, he'll more commonly have hands that crush you like JJ+), and you can't close the action because CO is still to act, and he could raise.
This hand is presumably quite low in your range, so you'd only continue with the better hands that do alright vs both of the other players. If you have the full pro subscription, you can use the analysis tools to find out exactly how tight you should play (in theory, according to Snowie-style play) vs this c-bet. Generally speaking, Snowie is very nitty in multiway pots, especially when you're OOP to the aggressor, and doesn't do much calling with "marginal" hands.
Villain's gonna bink a pair of tens on the river anyway, so you should fold and save some money.