I don't think so. At worst, it might result in a short term decline in price, but we shouldn't exaggerate the situation here.

BCC is and will remain an altcoin, nothing can change that. If you look at it from that point, services and exchanges are free to list it as such. On the other hand, I can also understand why they wouldn't list it.

In some cases an exchange or service will face moral problems supporting something like that. It nowadays mainly depends on how greedy they are in terms of generating trading fees.

The only correct way to respond to such actions is to convert the BCC coins to BTC in order to increase your holdings. But first, we need to see how things play out in order to make any further statements.