It's reasonable your password might be exposed since the attacker can now perform an offline brute force attack on the password hashes.
How likely it is your password gets brute forced really depends on the hash function used. If it's md5... all but the strongest password could be broken. (though at least the passwords were salted). If they're using something like bcrypt with a work factor of 10+, it's a different story and only the weakest passwords are at serious risk.
The fact that details on the hashing scheme aren't shared makes me assume it's not great...