Wanted to write, because I had a very similar experience to you. Forceps delivery (the bastards) after 4 hours pushing. Thankfully dd was fine, though head was very cone shaped!
I suffered with horrendous pain for about 14 months afterwards, and eventually got a diagnosis of interstitial cystitis, brought on by damage to bladder tissue. I took amytriptaline for a year, to manage the pain, and found a very good physio who stretched out my pelvic floor. I'll never forget the pain, or having to go to the loo every 5 mins.
I write to give you some hope. I managed to get pain free enough to have sex again, and had my dd2 by elective cs 2 years after my first. Though the urge problems reared a bit, along with the pain, it was really not bad at all. Certainly I leaked a fair bit when laughing/coughing, esp. towards the end.
The section was brilliant. I was terrified it would make my problem worse, and it didn't. I was utterly traumatised by my first birth, and the midwife referred me straight to the consultant. I saw her at 20 weeks, and she was understanding and reassuring, said she would take special care to avoid the bladder area during the section.
I have never had a return to the state I was in after that first birth. Please don't let this stop you having another baby. My section was really special, and my dd2 is wonderful.
Sorry for super long post, I really feel for you. Good luck x