As stated by LoyceV, miners are free to select any transaction they want. So, a miner can ignore all transactions made from/to a certain address.

Let's say your address is blacklisted an now you want to make a transaction from that. You pay a high fee, so it's confirmed in the next block.
If the next block is mined by the miner which is censoring the transaction, your transaction won't be confirmed and you have to wait more, so a block is mined by another miner.

In the worst case scenario, the miners that are censoring the transactions own a significant amount of the total hash rate, ignore any transaction including blacklisted addresses and don't add any block to the chain including blacklisted addresses.

In this case, there will be two scenarios:
1. Other miners do the same thing and blacklist some addresses.
2. we will have a hard fork