Be aware that it is not only up to the Danish rules whether you may have dual citizenship. Your own country must accept it too.
You will not be required to renounce your present citizenship if your country allow you to acquire one more, because if you have not yet applied, you will not acquire your Danish citizenship until next year.
see
http://www.justitsministeriet.dk/arbejd ... ationality
"Foreign citizens applying for Danish nationality
The time of entry into force of the new rules also imply that foreign citizens who are included in the bill on naturalisation which is expected to be presented in April 2015 may – as has previously been the case – be met with a requirement to obtain renunciation of their previous nationality.

Foreign citizens, who are included in a bill on naturalisation which is expected to be passed at a later date, will be included with no such requirement. Applications for naturalisation which are made now will be processed without a requirement to obtain renunciation.
Foreign citizens, who have been included with a condition of obtaining renunciation in an Act on naturalisation passed in December 2012 or later will be able to become Danish citizens without obtaining renunciation of their previous nationality by making a declaration to The State Administration (Statsforvaltningen). The declaration must be made between 01 September 2015 and 31 August 2017.
Application
A fee of DKK 1,100 must be paid when filing a declaration to The State Administration (Statsforvaltningen). Forms for declarations to The State Administration will be made available prior to the entry into force of the rules. Applications for naturalisation may be made on the forms already available on the Ministry of Justice’s website.
Access to multiple nationality is not decided by Danish law alone. For a person to acquire multiple nationality this must be allowed in the nationality laws of each of the states in which the person wishes to hold nationality."