Anne Selke has some beautiful area rugs. I don’t think they carry 7x10. 8 x10 would be closest.

These are pretty common looks for broadloom carpet. Go to any nearby carpet store, show them this picture and they will likely have several options that are very similar in various price ranges. Generally speaking, the more wool content, the higher the price. So you might have to go with nylon or another synthetic yarn. You can ask them to make you a 7 x 10 and then ask for a serge binding on the edges.

I am finding the wall color really does not work with the headboard . Is the pillow tyou bedding or just a pillow? IMO you choose rugs and wall color after all other choices like bedding have been made. I think a nice soft blue wall with that pillow would be awesome . If you post a pic of your space here in a commnet you will get much better help.

8x10 is a more standard size, if that would work and this rug is 100% wool @$799

https://www.potterybarn.com/m/products/capitola-tufted-rug-blue/?epik=dj0yJnU9aEstYTlCNzEydHB3Wk1TUlRiTHdSOHRVS0stVmZzbHYmcD0wJm49RzAzT0VreEpMUkZNX1VFdnpnTXpVUSZ0PUFBQUFBR1BLM09n

You might want to check Home Depot

https://www.homedepot.com/p/Tayse-Rugs-Denver-Basketweave-Blue-2-ft-x-3-ft-Indoor-Outdoor-Area-Rug-DEN1002-2x3/314708372

https://www.tayse.com/filter.php?collection=denver

https://www.burkedecor.com/products/lena-blue-white-grey-hand-woven-rug-by-chandra-rugs-len44603-576

Here is the headboard fabric, bedding, and the pattern pillow is a decorative pillow that sits in front of shams in the S&L bedding.

https://www.lowes.com/pd/Couristan-Recife-Saddle-Stitch-7-ft6-in-x-10-ft9-in-Area-Rug-In-Champagne-Blue/1002565544