In 2008, Pope Benedict XVI stated this on Mary’s coredemptive role with Jesus at Calvary:
For this reason, Mary is a model of total self-abandonment to God’s will: she received in her heart the eternal Word and she conceived it in her virginal womb; she trusted in God and, with her soul pierced by a sword (cf. Lk 2:35), she did not hesitate to share the Passion of her Son, renewing on Calvary at the foot of the Cross her “yes” of the Annunciation. … Associated with the Sacrifice of Christ, Mary, Mater Dolorosa, who at the foot of the Cross suffers with her divine Son, is felt to be especially near by the Christian community, which gathers around its suffering members who bear the signs of the passion of the Lord. Mary suffers with those who are in affliction, with them she hopes, and she is their comfort, supporting them with her maternal help. And is it not perhaps true that the spiritual experience of very many sick people leads us to understand increasingly that “the Divine Redeemer wishes to penetrate the soul of every sufferer through the heart of his holy Mother, the first and the most exalted of all the redeemed”? (1)
I do believe that Mary is able to intercede via Christ in healing our sufferings, in answering our prayers.