Gaining Standings
The quickest way to go from 0.0 faction standing to 5.0 faction standing with Servant Sisters of Eve is to do Data Center missions for the Gallente Federation and the Minmatar Republic. This is because the Servant Sisters of Eve has positive standings towards these two factions, more so for Gallente than Minmatar.
T H I S I S E X P E N S I V E - E X P E C T T O S P E N D A R O U N D 1 B
These missions involve going to a Data Center in Muer and Emolgranlan then handing in tags to the correct mission agent, starting from level 1 to level 4. You can only do this once per character and you will lose significant standings loss if you fail the mission.
You will need at least Connections 4 and Social 5 to do this. Even if you already have some standings with Servant Sisters of Eve, it is likely that you will need to hand in all the tags.
The picture below shows all the tags you need for each agent in Muer: 
MultiBuy for all the tags (around 600m at time of writing):
3x Serpentis Copper Tag
20x Serpentis Bronze Tag
20x Serpentis Silver Tag
20x Serpentis Brass Tag
20x Serpentis Palladium Tag
20x Serpentis Gold Tag
20x Serpentis Electrum Tag
20x Serpentis Crystal Tag
20x Serpentis Platinum Tag
20x Serpentis Diamond Tag
The picture below shows all the tags you need for each agent in Emolgranlan 
:
Here is the MultiBuy for all the tags (around 300m at time of writing):
3x Angel Copper Tag
20x Angel Bronze Tag
20x Angel Silver Tag
20x Angel Brass Tag
20x Angel Palladium Tag
20x Angel Gold Tag
20x Angel Electrum Tag
20x Angel Crystal Tag
20x Angel Platinum Tag
20x Angel Diamond Tag
Once you have done these you should have above 5.0 standing with the Gallente Federation, Minmatar Republic and the Servant Sisters of Eve.