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Give her a small token of your appreciation. Show that you've been listening to her. Take interest in her accomplishments. Let her pick the movie/restaurant/music. Offer a helping hand. Show her you respect her.

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This doesn't have to be a super expensive diamond necklace or anything, but something small that lets her know that you've been thinking of her and that she's important to you.  If she likes flowers, get her a lovely bouquet of her favorites. By getting her favorites you show that you've been paying attention to her likes and dislikes (flattery in and of itself) rather than just reverting to the old red rose stereotype (although some women do like roses, of course). If she's a gardener you could get her some seed packets she's been wanting for a while, or a new pair of gloves. If she loves to write, or writes in a journal or diary, get her a lovely notebook or special pen. Again, the token should be something that's specific to her as a person and to what she likes. Showing that you listen to what she says and the things that she does is a huge compliment and one which a lot of people forget to do. Obviously, this means that you should be listening when she talks and paying attention to what she's up to.  If she's been having trouble with a roommate or a family member, make sure to ask her how it is going with them. It'll show that you care and that you're paying attention. If she's been talking about getting a new haircut, or piercing, or tattoo, compliment her when she actually gets it done. Say something like "Your new haircut really frames your face in a great way" or "That tattoo is so creative and gorgeous. Did you design it yourself?" Even if it is something small ask her to show you something that she is proud of having accomplished. It could be anything from baking a cake, to refitting her car engine, to fixing a leaky faucet.  Ask her to help you with a project that appeals to her strengths. For instance, if she's really good at interior design, ask her for some ideas on how to make your living space better or more comfortable. If she's good with web design, ask her help designing the webpage for your new novel, your new company, or simply a blog. By encouraging her to choose something for both of you, you are showing that you think she has good taste and that you trust her to exercise that taste. There is little that's more flattering than someone thinking you have good taste.  Say something like "You always pick the best food, why don't you choose where we'll eat." Ask her to help you pick out some clothes (if that's something she likes to do). Tell her that you're no good at it and that she has such a great eye you'd love it if she'd go shopping with you. You'll get to spend more time with her and you'll get to show her how important her skills and her opinions are to you. If she's having a stressful time, or she's trying to run an event, take care of her aging parents, and so on, offer to help her out. It will show that you've noticed what she's going through and that you like her enough to help.  If she's going through a busy period with work, school, or some outside interest, offer to bring her dinner and to clean up afterwards (bonus points if you make it yourself). If she's running some sort of event, volunteer some of your time to helping her make it a success. She won't forget that you were there for her and she'll be flattered that you took an interest in what she's working on. Don't only offer to do things that are self-serving to you. If she's really stressed and you offer her a massage and she says no, find a different way to show your appreciation for her like asking what she needs. This is a huge part of flattery and of making sure that flattery doesn't get really creepy. Make sure that you respect her boundaries and her as a person. If you aren't respectful, you're flattery will come off as creepy.  For example: If you say something nice about her appearance and she doesn't respond well, let it go. Don't badmouth her simply because she didn't respond to your flattery. Remember: just because you've said something nice, or done something nice does not mean that she owes you anything.