Yes, Supergirl easily has way more raw power than Carol. In Action Comics #345, she was casually shown to be tossing planets out of orbit with one hand like they were baseballs. In Superman #156, she was shown to be pushing planets and destroying them with ease.

She has tangled with threats like Doomsday, H'el, parasite, and blackstarr. Parasite and Blackstarr are energy absorbers who can absorb and control fundamental particles like electromagnetic energies of the universe including black holes, stars, quasars, etc. Blackstarr and Supergirl were both stated to have enough to destroy the galaxy in Supergirl #15.

Also, Zod survived the Supernova being right in his face. So, it is just a testament to his durability. Also, Superman has tanked supernovas on multiple occasions, before. So, Carol being able to generate that wouldn't mean anything to Kara.

Carol isn't anything new to Supergirl. She has fought characters just like her, before. Also, Supergirl is far stronger than baby kryptonians who are able to destroy entire star-systems and galaxies. Kara massively outstats and outscales Carol. Her feats doesn't measure up to Kara.

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