s infideility, you should be tested
for common STDs -- chlamydia, gonorrhea -- and rare ones
for which accurate tests are available, i.e. syphilis and HIV. Even if one of these were to be positive, it would have nothing to do with your eczema.
Finally, no STD could cause a breast "protuberance". However, that symptom should be checked professionally to be sure it's nothing serious.