Technically, warranty is 2 years (though only 1 year on the battery). The 6 months period works slightly differently - after 6 months there is no longer an automatic assumption that any defects were present when the phone was delivered, which means that the burden of proof can shift to the consumer. I’ve not heard of Fairphone being particular about warranty claims, so I wouldn’t expect them to reject the warranty claim that you’ve made unless there’s a strong reason to suspect misuse.
There’s a copy of the warranty statement here, see “Claiming your warranty” for an explanation of the 6 month period. Note the use of the word may, when mentioning a requirement of proof of defects after 6 months.
There should be an automated response when you submit (though I seem to remember another case recently where this may not have happened), but after that it can take some weeks to get an actual response (as the support team is struggling to keep up whilst they recruit reinforcements to deal with a backlog in requests).