It doesn't seem to me that she's worried about the gifts you give her.

It seems she's worried you're not responsible with money, which is likely to become a huge issue in any long term relationship. I'm not saying she is right, and neither am I saying she's wrong. What I'm saying is you may want to give her the impression that you are responsible with money (ideally you do that by being responsible with money).

Is there any way I can convince my girlfriend that she should not worry about the gifts I give her? Or should I accept that it makes her feel uneasy and stop giving her gifts?

Neither. You should figure out what gifts she likes and stick to those. She's already given you a hint that this involves her thinking the item is worth its price. When giving gifts, sometimes a thoughtful cheap gift is valued more than an equally thoughtful expensive gift.

All of the above applies to 90% of women and men you'll ever be romantically involved in, the amount of money she grew up with is of little relevance here. Smart spending is just something people look for in someone they're going to share a bank account with. The only thing that varies is people's understanding of what "smart spending" is.

It doesn't seem to me that she's worried about the gifts you give her.

Smart spending is just something people look for in someone they're going to share a bank account with. The only thing that varies is people's understanding of what "smart spending" is. It seems she doesn't think $60 for an emote is smart spending, even if it's a gift for someone you love.

Is there any way I can convince my girlfriend that she should not worry about the gifts I give her? Or should I accept that it makes her feel uneasy and stop giving her gifts?

Neither. You should figure out what gifts she likes and stick to those. She's already given you a hint that this involves her thinking the item is worth its price. When giving gifts, sometimes a thoughtful cheap gift is valued more than even an equally thoughtful expensive gift. Expensive gifts are problematic for a multitude of reasons*, so best steer clear of them for a while.

The above applies to 90% of women and men you'll ever be romantically involved in, the amount of money she grew up with is of little relevance here.

*Some of the reasons are: One sided, partner cannot reciprocate. Implies purchase of affection (or other "services"). Creates guilt in partner. The timing of few large gifts may result in an unintentional and unfortunate pattern the partner might notice.