Latch Circuit: Beginner

Question

I am trying to implement a simple latching circuit that will turn an LED on if the signal from an AND gate is high (LED latches ON if high, and only way to reset is to remove power). I was thinking of using an SR latch, where I reset to the initial state (resulting in an off LED) then when the signal comes in, I switch the state. However, I don't know if 1) this is the right way to do this (seems a bit too complicated, since I don't need 2 outputs or 2 inputs) or 2) how exactly this would even be implemented in a circuit (especially the initial reset, or the power removal feature).

I hope my question is clear, since I am a beginner and am not sure if my descriptions are technically informative. I appreciate any help!

EDIT1: Attempt 1 Using SCR and Transistor:

Answer 1

You don't need to complicate it with digital logic, just use an SCR.

When power is first applied no current flows through the LED.
After the button has been pressed, then the SCR is latched on and the LED is lit.
The only way to turn it off is to stop current from flowing through the SCR ie. remove power.

^{simulate this circuit – Schematic created using CircuitLab}

EDIT with AND gate control

^{simulate this circuit}