Question

difference between trusting and trust worthy

Answer 1

Trustworthyis basicallythe quality of being reliable, dependable and honest. In other words, able to be relied on as honest ortruthful. The traditional dictionary meaning of "worthy oftrust" is in this sense of being reliable, etc.
*.Leave a spare key with a trustworthy neighbour.(Honest neighbour)

Trustedmeansheld in a position of trust--in the sense ofestablished as credible, dependable and favouredthrough previous experience or dealings (ideally) or by general reputation (less ideally). "Trusted" articulates with the traditional, literal dictionary meaning oftrustworthy(worthy of trust).
*.A "trusted adviser" is one youhold in high trust(or one youcan put your trust in) because he/shehas shown to becredible, dependable, trustworthy, etc.An adviser is just an adviser delivering advice, but a trusted adviser is one you trust because of reliability and other prudential qualities.

Answer 2

Trustworthy is an estimate of something's (or someone's) 
trusting =always believing that otherpeople are good or honest and will not harm or deceive u