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The primary concern with symmetric key cryptography is key distribution. In symmetric key cryptography, the same key is used for both encryption and decryption of data. This requires that both the sender and the recipient have access to the same secret key, which poses significant challenges.

Key distribution refers to the processes through which the secret key must be securely shared between parties. If the key is intercepted or disclosed to unauthorized individuals during its distribution, the security of the entire communication is compromised. This makes it critical to establish secure channels for sharing keys without falling victim to attacks.

While other aspects, such as key storage, encryption speed, and data integrity, are important in the context of cryptography, they do not present the same level of inherent risk associated with securely distributing the keys in symmetric systems. If the key distribution is not handled securely, it can undermine the whole system, regardless of how well the encryption and decryption processes are executed.