The Swedish Embassy cannot act on individual cases, since this this is not within its competence under the Swedish law. The Swedish Migration Agency is the authority that processes the cases of residence permit.
The legislation on asylum is designed in the way that an applicant must be on Swedish territory for her or his application to be processed. Therefore this is not possible for foreign nationals to seek asylum through Swedish embassies or Diplomatic missions abroad.
Refugees and others in need of protection, who cannot be guaranteed permanent residence or security where they are, may become a part of the resettlement quotas several countries set to the United Nations Refugee Agency's (UNHCR) disposal annually to provide protection for those in need.
To be considered for UNHCR’s quota selection and offered resettlement to a third country, a person must be registered with the UNHCR. The individuals UNHCR considers in need of resettlement to a new homeland are presented to any of the approximately twenty-five countries in the world - of which Sweden is one - receiving quota refugees. Each country then makes an assessment of the person's refugee claims and makes decisions on residence permits.
The Embassy therefore recommends you to contact the UNHCR office in Cairo to describe your situation.