Welcome to the Forum. The questions you are asking are some of the correct ones to be asking for the answers are the reason that it is unlikely that you have an STD. Let's go through things step-by-step.
Your partner may or may not have had an STD but it is statistically unlikely that she did. In addition, even if she did, STDs are transmitted to sexual partners on no more than 20% of singl;e exposures. Furthermore, your genital sex was condom protected and thus virtually no risk if the condom was used throughout the exposure. Oral sex may rarely lead to NGU in men or gonorrhea but not chlamydial infection. Thus the chances that you are infected are small. As for your symptoms, non of the common STDs have the onset of genital symptoms within 24 hours of exposure so it unlikely that your symptoms are due to STD acquired through the exposures you describe. Chemicals such as the ones used in cleansing wipes can however be quite irritating and this may be the source of your initial irritation. Unless made worse by repeated application however, any symptoms due to chemical irritation would have gone away in a day or two. For symptoms after that the major possibilities are increased detection of normal sensations due to concern over the exposure or, perhaps NGU although this is unlikely for the reasons noted above.
My guess is that you do not have an STD Your men's health examination will give you the information you seek but to be sure it does, I suggest that you be sure to tell the person who examines you of your exposure and concerns.
Finally, with regard to the fish odor, your partner may have had bacterial vaginosis, a common alteration of vaginal flora in women which is not an STD and is not transmissible to sexual partners. Bacterial vaginosis is a common cause of a "fishy" vaginal odor which may get worse during or following sex.
Hope these comments are helpful to you.
Take care. EWH
Your sex was protected, therefore it is most unlikely that you got anything. Transfer of STDs by a person's hands or by touching does not happen.
Stop guessing and go get tested. EWH