It depends heavily on the genre, setting, etc. You should know your characters as well as you know yourself, or better. Know the details. Go in-depth. Give reasons and explanations for why they’re who they are. Their name depends on era, culture, and overall who their parents/guardians were. Also, I don’t know, but I don’t think you can ‘become’ an introvert. Again, I’m not sure.
Is this fantasy? Steampunk? Sci-fi? Cyberpunk? If steampunk, is it a more Victorian or Western setting? If fantasy, more Medieval or similar to some other era? If sci-fi/cyberpunk, is it more futuristic and technologically advanced, post-apocalyptic, or primitive (also, futuristic doesn’t necessarily mean advanced, people just often go with that.)? What’s the culture? It all depends on factors like these. In a Medieval setting, Welsh and Cornish names like [name_f]Anwen[/name_f], Athwenna, [name_f]Rowena[/name_f], [name_m]Gawain[/name_m], Morwen, Aneirin, etc., would probably be common, depending on what the language and country it is most similar to. In a futuristic or steampunk setting, pretty much any more common name would do, but it also just depends on what you like. Also, do their parents choose names based on personal things, like where the child was born, what meanings they like, or just the sound of it? Or, do meanings have significance due to culture or moral standards/doctrine? (For example, Native Americans often named children after things that were around them when they were born or after spirits.) In short, culture, family, history, language, religion, etc., all factor into naming a character depending on the genre. If this is fantasy/fiction, wordbuilding is the most fun part.
You could also go by hair-color. Look up names that mean ‘red’ or ‘fragile’ or are related to the character. What suits her? What rolls off the tongue, or just clicks?
[name_f]Fiammetta[/name_f], [name_u]Rowan[/name_u]/[name_m]Rowyn[/name_m]/[name_f]Rowena[/name_f], [name_f]Roisin[/name_f]/[name_f]Rosheen[/name_f], [name_m]Flannan[/name_m]/[name_u]Flannery[/name_u]/[name_m]Flann[/name_m], [name_f]Clary[/name_f], Ruad, [name_m]Ruadhan[/name_m], etc., are all related to red hair or the color red. ‘[name_f]Willow[/name_f]’ could be a name for someone who’s willowy or sylphlike or delicate. [name_f]Violet[/name_f] or [name_f]Violetta[/name_f] might also make you think of ‘Shy violet’ or ‘wallflower’.
Basically, just go with what both makes sense and what you like.