1) There is the possibility that my employer transfers me to Singapore, so she could come too, and we could live there together until she becomes an SG citizen, gets a divorce as in any civilized country, and we finally marry.
How would she be eligible to become an SG Citizen? You are German! Did you mean Become a resident?

There are several different types of people eligible to apply for citizenship:

  • Permanent Residents at least 21 years old, who have been resident on a permanent basis for 2-6 years
  • A Permanent Resident who has completed the National Service obligation
  • The spouse of a Singaporean who has been both married and a Permanent Resident for at least 2 years
  • A child born outside of Singapore with one of both parents holding Singaporean citizenship
What are the minimum requirements for her to obtain a divorce in Singapore?
Sounds like it might be a good work around but would be interested in more details to make sure its really feasible.