Your risk for HIV is relatively low and certainly lower than your risk for chlamydia which is both much more common than HIV
and much easier to catch if exposed. HIV
rates in Singapore, like elsewhere vary in terms of who your partners are but in general they are not excessively high.
With regard to your question about the time it is taking to get your test results, in general chlamydia tests are done at different locations than HIV tests and on different schedules.