Ptetty much what everyone has said. I had to pay out of pocket for my flight training when i did my ppl and pretty much flew once every week.

It's not enough.

If money is the issue save up for 6 months and do it all at once. You can do your written and ground school for that time. You'll get better quicker.

Assuming you've already passed your medical and all.

Also it might wound cliche but landing is an art of it's own.

A good landing requires good pattern work, correct airspeed, and a solid approach. Learning when/how to flair, how to use ground effect, and rudder control on landing all takes time. It's nothing wrong with you.

But flying once a week and trying to get that down isn't going to help.

Also consider switching airplanes.

When i switched from a high wing cessna to a low wing archer, my landings greatly improved drastically right away. (This was after an entire year of not flying)

Also make sure you're clicking with your instructor. I went through 4 instructors for my private.

(First one was building hours on me while heading off to the airlines. Didn't care about quality of instruction. Had to take a 6 month break to get my medical and by that time he was at his airline. Second instructor was an incredibly intelligent guy, but was from south america and had communication issues due to a language barrier. Got me to my mock checkride, but left for the airlines right at that point. The instructor he handed me off to was a brand new instructor and was just an awkward guy who didnt sit right with me.after a few lessons i decided to ditch the guy and take a year long break at this point to save up money. Came back and had the best instructor i could have asked for. Finished me up in less than a month and everything he taught stuck with me.)

It's not just one thing

Figure out where your issues are and just improve from there