Hello WildWeeder,
Thank you for reaching out to Apple Support Communities.
You would only need to select the names of the people you want to invite as outlined here:
"Invite others to an event
You can invite people to an event you’ve scheduled.
- Tap the event, then tap Edit near the top of the screen.
- Tap Invitees.
- Enter the names or email addresses of people you want to invite, or tap
to select Contacts. - Note: For you to send a calendar invitation to a contact, they must have an email address. See Add and use contact information on iPhone.
- When you’re finished, tap Done.
If you don’t want to be notified when someone declines a meeting, go to Settings
> Calendar, then turn off Show Invitee Declines."
Additional details can be found here: Send invitations in Calendar on iPhone
If the issue persists, can you provide a few more details? Are you using an old invite that previously had your sister? If so, does the issue persist if you create a whole new invite?
Cheers!