Blocklisting is intended to hide messages from you that you're not interested in, for example spam messages, people who are harassing you that you want to ignore, etc. Blocklisted people don't receive anything when they send you a text message, from their point of view they wouldn't even know that they're blocklisted.

Just long-hold any contact in the Textra conversation list screen > 3 dots top right > Blocklist.

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