I think it's up to every punter to work out what safe means to them. Years ago, I remember most "at home" parlours in Sydney Oz would actually do a "gonny test". They'd walk you to the washbasin, examine cock while washing it thoroughly, then do the "squeeze" from base to tip, pressing on the underside, to see if any gunk could be squeezed out. Similar to some GUM examinations. Once that was over they could be thoroughly charming. ("At home" was a newspaper ad definition to distinguish a setup of a house with several prossies living together, usually very relaxed, compared to a formal parlour situation. Very nice they were too.)
Gonny tends to show up by such manner within a few days to one week. Antibiotics (technically you should get them from GUM but you can buy the same ones online) is quite quick but they usually suggest a period of a week after the start of treatment and check it's clear. Occasionally I've heard them suggest longer but there's no medical reason I know of for that. (You'll find this confirmed in medical publications including online ones, but it's your body and your responsibility, so satisfy yourself of facts rather than trusting anything on a forum. If in doubt, do what the GUM clinic tells you.) Gonny is not that serious if treated quickly. It's serious if untreated or not properly treated (even if it "seems to go away".)
Just get familiar with facts until you can handle an emergency and are immune at least to those panic tingles down the spine.