There is a difference between loyalty and trust. You can be loyal without being trustworthy.
Loyalty can be termed as devotion of a person to a cause, an organization, country, or another person. A person can be loyal to someone or something, whether it’s right or wrong. Loyalty implies sticking with someone or something, even if it goes against your own self-interest. Loyalty is considered as an obligation or duty.
A trustworthy person is someone who you can rely on as being honest or truthful. You can confide in that person to do the right thing, even when no one is watching. Trustworthiness is a step higher than loyalty, because it is being loyal and righteous at the same time.
Being loyal is easier than being trustworthy.