You have been told you had no risk. We wish you the best.
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I can't comment on anything other than STDs. No STDs are spread by contaminated water, towels/bed sheets, or oils.
The ONLY ways you'll get an STD are:
1 - Mouth to genital contact - think oral sex
2 - Genital to genital contact, unclothed - rubbing, grinding, penetration
3 - Genital to anal contact, unclothed - rubbing, grinding, penetration
STD stands for sexually transmitted disease. You have to have some kind of sexual activity in order to transmit them.