Hey gemini7222
By oozing I'm assuming you mean pre-ejaculate from the penis? If so there's not a great deal that can be done. You can try to distract your mind from arousing thoughts but it's no guarentee. Take comfort that those painting you aren't likely to take notice. They're much more focussed on the whole of your form and rarely have a lot of time to gawk at your swining parts.
As far as your tempature. It's unusual, but she was telling you the truth. Rectal measurement gives a more accurate reading of body tempature. If they had reason to believe they weren't going to get an accurate read orally it would make sense for them to go in the other way.