Titanium jewelry is highly unlikely to turn your finger green or cause any other discoloration or irritation, as it is a hypoallergenic metal containing no common allergens such as nickel or copper.

Green discoloration on the skin is usually caused by a reaction between the metal in the jewelry and the natural oils and acids on the skin. This can occur with certain types of jewelry that contain base metals or alloys, which can react with the skin and cause a green or black discoloration.

However, titanium is a biocompatible metal highly resistant to corrosion and wear and does not react with the skin or cause discoloration or irritation. This makes it a safe and comfortable choice for those with sensitive skin or allergies to other metals.

If you experience discomfort or irritation when wearing titanium jewelry, the jewelry may be contaminated with other metals or substances, causing the reaction. In this case, cleaning the jewelry thoroughly with mild soap and water or a specialized cleaner is recommended, and avoiding wearing the jewelry until the irritation or discoloration subsides.