some other symptoms of a kidney infection are
burning or pain with urination
unable to empty your bladder
puss and/or blood in your urine
cloudy urine or strong smelling urine
fever, chills, back pain, pan or pressure in your abdomen.
The symptoms vary on the degree of the infection. If in fact you have a kidney infection and it goes untreated it can become severe leading to kidney damage (decreased function) or kidney loss.
In my opinion you should contact your primary doctor or whichever doctor gave you the antibiotics for the UTI and let him/her know you are having pain with intercourse. You may have a completely separate health issue going on in this case you would be need to see a GYN.
They may do an ultrasound to check your urinary system including kidneys and at the same time they can check your ovaries and uterus.
I always say it's better to be safe than sorry.
I wish I had an easy answer for you.
Keep us posted.