I do not recall Doge being called a scam coin. It's widely known as a meme coin back in the day but it has come a long way since then. It is also often used ins gambling sites due to its fast and cheap transactions. Monero has been the top anonymous coins for a long time now and the only people I know that are calling it a scam are regulators.
Now, which coin is safer? They're not scam coins so you can use either of them. If you want your transactions to be anonymous, use Monero.