e.g. the simple solution is to denormalize the table and have each message keyed by recipient. In a dating app you'll roughly double your message count this way, and even in most messenger apps the proportion of messages sent person to person is likely the most significant.
A smarter solution is to key each conversation by a unique key in a sharded table and then store the set of "conversations" that a user is engaged in in the sharded users table. Fetching the messages for a user then becomes a simple 2 query process - fetch/filter the conversations, then fetch the messages. No duplication of messages, and likely just a few extra bytes per message for the key.
It would be great if the DB could manage the above application side sharded join internally, but we're unfortunately a few steps away from that today.