Is gonorrhea strictly an sti?

Yes: Gonorrhea is one of those infections that is always a sexually transmitted infection, which means it is always an STI unless proven otherwise.

No: Gonorrhea is spread through oral or anal sex with someone who ha infection.It can also be spread through mother to baby during birth if mother has active infection at time of delivery. http://www.familyplanning.org.nz/advice/sexually-transmissible-infections/gonorrhoea

Usually an STI: Gonorrhoea is found in discharge from the penis and in vaginal fluid, sometimes the rectum, much less often the throat or eyes. Passing gonorrhoea to another person needs close contact with infected body fluids, which is usually during sex or, for a baby, during birth. The infection isn't spread by swimming pools or toilet seats because the bacteria can't survive outside the human body for long