〜てはかなわない
can't stand it if, it's too much
Verb て-form / い-adj くて + は + かなわない
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てはかなわない complains that something is unbearable, especially if it goes on: こう暑くてはかなわない, "I can't stand this heat".
The first half is an unpleasant situation, often repeated or ongoing: heat, rain that won't stop, constant overtime, being asked the same thing again and again. Passive verbs are common, because something is being done to you: 騒がれては, 聞かれては.
It's close to てはたまらない and てたまらない (N3), but more of a grumble. かなう means "to match, cope with", so it's literally "if it's like this, I can't cope".
Don't confuse it with てもかまわない (N4), "it's fine if".
Examples
こう暑くてはかなわない。
I can't stand this heat.
毎日こんなに残業させられてはかなわない。
I can't take being made to work this much overtime every day.
夜中に騒がれてはかなわない。
I can't put up with noise in the middle of the night.
こんなに雨が続いてはかなわない。
I can't take any more of this rain.
何度も同じことを聞かれてはかなわない。
It's too much being asked the same thing over and over.