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That should be Psychoda alternata; there is no evidence that Tinearia forms a separate lineage from Psychoda. Instead, it seems like Tinearia is just a subgenus or species group within Psychoda.

In any case this is not a Tinearia or even a Psychoda. In your pictures of the living animal the wings are held upwards and to the side. When Psychoda flies rest they keep the wings parallel.

What this actually is can be very hard to find out because it is a female, and very few Psychodidae females apart from Psychoda do not possess any known characters that we know are reliable for identifying them even to genera.