Sri Matre Namaha
Tarakannthi-tiraskari-naasabharana-bhasura – The twentyth name in Lalitha Sahasranamam.
1) tara(= mangala) devyah kantim tiraskaroti tadrsena nasabharena basura
She is adorned with the nose ornament which excels the lustre of goddess Tara
The word tara refers to two goddess viz Mangala and Sukla. Hence it would mean She is adorned with such nose ornaments which can overpower the lustre of goddesses like Tara, Mangala, Sukla etc.
2) According to the second interpretation, the name means shining with the jewels on the nose which outshine the stars in splendor (jewels are manikya and mautika)
She is wearing a nose stud that outshines the stars. Her nose stud is made up of rubies and pearls. Tara means stars. Tara also means two goddesses mangala and sukra. Possibly these mangala and sukra could mean the two planets mars and venus. Each planet has certain precious stones. Planet mars has ruby that is red in colour and venus has pearl. It can also be said that these two planets adorn her nose. This also indicates that worshipping Her wards off the evil effects of planets.
If I picture her with a nose ring…I am certain that the lustre of that nose ring adds to her resplendence….and she glows…