This product is not suitable for vegans because it contains hydrolysed silk proteins. Silk proteins are derived from silk, so the formula is not plant-based. If you follow a vegan lifestyle, you will need to choose a hand cream without silk-derived ingredients.
For people with sensitive or reactive skin, the main point to consider is that the formula contains protein-based cosmetic ingredients. If you have known sensitivity to silk or to protein-based ingredients, patch testing first is a sensible step. Apply a small amount to a limited area of skin, for example the inside of your wrist, and wait to see if any reaction appears before using it on your whole hands. Stop use if irritation appears and avoid the eye area.
If you are unsure whether your skin will tolerate this product, or if you have a history of reactions to cosmetic ingredients, consulting a specialist before use is a reasonable precaution.