Welcome to the STD forum. I'll try to help. The bottom line is that you probably have no STD, and even if you did, there would be no possible risk to your family except of course your wife; STDs are not transmitted in the home to children or anyone except sex partners.
No STD causes rash of the upper inner thighs like you describe. Most likely it's jock itch (a superficial fungus infection); a bacterial infection like staph, strep, or a condition called erythrasma; or just nonspecific irritation, especially if you are overweight -- i.e. if the involved areas are continuously warm and moist. The minor discomfort on urination doesn't sound like anything either; it mostly makes me think your anxieties are making you notice normal sensations more promimently than before. Neither of these is likely due to anything you caught during the sexual encounter you describe.
That said, I can't guarantee you didn't catch an STD, but if so, it is asymptomatic and not the cause of the symptoms you describe. The urine test will tell if you caught chlamydia or gonorrhea, but that's all. If so, your wife will need to be treated. But most likely the result will be negative. The blood test was done too early to pick up any new infection; all STD blood tests require at least 6 weeks for reliable results. If you want ultimate reassurance, you'll need to have another round of tests at that time.
If "STD testing center" is only a lab service, that's not enough; you need to see a provider in person to properly evaluate your rash and check for STDs not picked up by standard lab tests, like nongonococcal urethritis (NGU). In the meantime, you can be reasonably certain you didn't catch anything.
By now you have learned your lesson about condoms, if a similar situation comes up in the future, so I won't give you that lecture.
I hope this helps. Best wishes-- HHH, MD
Thanks for the clarification. With this more detailed description, I suspect you have urethritis -- i.e., inflammation/infection in the urethra. (I missed the mention of discharge originally -- sorry.) Starting this long after the exposure, it's almost certainly nongonococcal urethritis (NGU), not gonorrhea. Chlamydia causes 30-40% of cases, but most are due to a number of other bacteria. You definitely need to be professionally evaluated, even if the gonorrhea and chlamydia tests return negative.
If NGU (or gonorrhea) is confirmed, your wife has been exposed and probably infected. She definitely will need to be treated and ideally should be tested for all common STDs, even if your lab tests come back negative.
In addition, if NGU or gonorrhea is confirmed, your partners from 2 weeks ago also should be informed and treated, if you have a way to contact them.
Thanks for your valued medical opinion and your reassurance. I get the feeling that you think my symptoms of the last 24 hours might just be in my head though. I can assure you they are not. I am not hurting, but there is something going on down below that does not feel normal that is for sure. And there is some discharge when is abnormal for me. So I will just wait as you suggest for the urine test to come back and hopefully you are right.
Assuming the worst and i do have Gonorrea or Chlamydia, Is it possible to not infect a partner with whatever i might have or is it almost always passed along? I realize if i am positive she will need to get treated regardless, but I'd just like to know your medical opinion on this question.
Would you like for me to post my results of my test when they become available?
Thanks again.