Yes!!!
I have two schools of thought here that might help (they have helped me)
I took SSRIs for 6 months whilst going through a tough time. I have suffered anxiety on and off for most of my adult life. They really did help, you feel a little worse to begin with but then they completely took my anxiety away. I stayed on the lowest dose and tapered off slowly.
However, the absolute biggest change that has made my anxiety pretty much disappear was getting levels of key vitamins and minerals up to ‘optimum’ level rather than just inside the range of normal.
GP always said my levels were fine but my ferritin (iron) vitamin D and B12 were all literally just inside the range of normal. I got some extra strength iron tablets, took a vitamin D supplement and go to the local pharmacy for a B12 jab once a month at a cost of £30 each time. Since doing this, my anxiety has pretty much disappeared.
SSRIs will increase the amount of serotonin in your body, lack of this neurotransmitter can cause anxiety and/or depression. But in order to synthesise serotonin in the first place, your body needs all the correct ingredients to do so. Iron, Vit D and B12 all play a role (as do other key minerals etc)
In your case, I would ask the GP for medication but also thorough bloods. Take the medication whilst getting your levels where you need to be. And don’t take the GPs word for it that your levels are fine. Check the results yourself. For example, my ferritin was 34 - NHS states above 30 is normal but I read some medical papers on line that it really should be between 75 and 100 for a menstruating female.
Good luck! I feel better than I have felt in 20 years!