In my experience, the gp will assume you're ok unless you get in touch. Keep going back until you feel better. ADs should help with mood and tearfulness. So sorry hear you're going through that at the moment. You WILL get better, it's just a matter of time and the right medication.
I've been on Sertraline for 4 months, since I started feeling bad. Began with 50mg for 2 weeks, then I requested an increase, and spent 3 weeks on 100g and then 150g. That didn't make me feel normal, so I rang the GP to request another increase, this time to 200g (the max dose).
That was on Friday of last week, and by Monday I was feeling much better. My background feeling of anxiety began to fade, and my low mood has gone. I'm feeling a bit flat, but that's a small price to pay.
I should mention that I have been on 200g sertraline for the past 10 years, and decided (unwisely) come off them by myself in February this year. Wish I hadn't done that. Might have had an easier time of it now. We live and learn.
I have no plans to ever come off them again!
Good luck. Xx