I would say that Mind Blank has no effect on this.
psychic damage, any effect that would sense its emotions or read its thoughts, divination spells, and the charmed condition. [...] affect the target's mind or to gain information about the target.
None of these things say that they prevent telepathic communication. The closest match is 'affect the target's mind,' but 1-way telepathy has no more affect on your mind than someone just talking to you.
However, for a more persuasive comparison, see the Ring of Mind Shielding which says:
While wearing this ring, you are immune to magic that allows other creatures to read your thoughts, determine whether you are lying, know your alignment, or know your creature type. Creatures can telepathically communicate with you only if you allow it.
By this, we have an example of a magic item that shares some traits with Mind Blank, but specifically calls out that it blocks telepathy. So given that we have a magic item that specifically says it jams telepathy--but Mind Blank does not say that it jams telepathy, it seems a safe assumption that it does not.