How likely is it for a woman to give another woman gonorrhea?

Woman to woman sexual contact can transmit gonorrhea and other sexually acquired diseases, as some practices may include use of instrumentation or digital insertion to the vagina and acquisition is as likely as with hetersexual sexual activity.

Depends on the level of intimacy between the women. For info: https://www.nhs.uk/live-well/sexual-health/sexual-health-for-lesbian-and-bisexual-women/#:~:text=Women%20can%20catch%20STIs%20such,at%20a%20higher%20risk%2C%20too.