A topic from AEG's L5R CCG Rules forum, copied for Oracle of the Void from a copy of the forum saved in October 2015, so pages it didn't save are missing. Players' names are left out; the rules officials are named. Rulings are as they stood on these dates; later rulings, the rulebooks and the Rules Archive may differ.
Ok, so the title pretty muchs sums it all...
Strike Quickly, bring Moshi Sayoko (Experienced)... take two additionnal. can a play two cards which require presence, or does the Moshi Shuggie goes home right after having performed her battle abiility (thus meaning I can only do presenseless actions)?
Strike Quickly will move home Moshi Sayoko XP before the two additional Battle actions from her own action may be taken, because this movement is an effect delayed "after the additional action ends" (card text); per the timing sequence it happens before any Reactions to the end of Sayoko's action may be taken, and those Reactions must be taken before those two additional actions (see below).
Glossary, Additional action: "When an action or triggered trait grants an additional action, the timing of the additional action is delayed, such that the action is taken once the action or trait that granted it has ended, and the opportunity to play Reactions to the end of the action or trait has passed."