Is seeking help from others considered taking the necessary means and trusting in Allah, or is it a sign of lack of trust in Allah, especially after supplicating to Allah alone for a month without a response and feeling despair?

Deliverance is in the hands of God alone. The servant must strengthen his trust and reliance upon Him, while also utilizing permissible means, whether unseen, like supplication and seeking forgiveness, or tangible, like seeking help and striving. There is no contradiction between reliance on God and utilizing means. God answers supplication in three ways: by granting the request, by averting evil, or by reserving reward. Destiny does not negate the utilization of means, for God has decreed deliverance and success through means.