Begin with what matters to her.
“What would make your week a little easier?” can open a different conversation from “You need a caregiver.” Listen to what she wants to keep doing herself.
Name one specific thing.
A meal. Laundry. Company while you’re at work. Talk about the task instead of making the whole conversation about losing independence.

Leave room for her concerns.
A new person in her home can feel like a big change. Ask what worries her. Privacy, routines, and choosing the person all deserve an answer.
Make the first step an introduction.
“We can meet someone together” is a smaller step than agreeing to a whole schedule. Let her ask questions and share how it felt afterward.
You can name your needs, too.
“I love being here with you. I also need help with the everyday so I can keep doing this.” Your needs belong in the conversation.