My wife wants me to prove i still love her how do i do that?

my wife thinks im cheating on her. even though i have never so much as kissed another woman.out of curiousity i have looked at other women on free dating sites/mostly out of curiousity who is there i may know. im not trying to date. i admit this activity is stupid and damaging. but i feel it is relatively harmless. im probably an idiot. now she feels she cant trust me and i need to prove i love her. she wants. me to make her feel special. but she wont do anything i suggest.and if we do something together it dont change how she feels. tomarrow we will be at it again.i hug her kiss her tell her i love her every day. i give her mages everynight.she wont go out any where so i bring dinners home. i ask her every day if she would like to do something together. i get no. she is depressed and i cant prove to her i love her. what do i have to do. i try to help her with the houshold chores. shes 45 im 44. i just want us happy as we used to be. we have had maybe 4 times in the last year. ive never been unfaithful. she keeps telling me she wants to feel special. when i try anything im told im doing it all wrong. thats not what she wants. when i ask for help im told to figure it out. i cant. nomatter what i feel i do it is going to be wrong.. i try so hard to speak in a calm and pleasing voice and after a while it blows up in my face again and we are no further then where we started.then i get so frustrated then angry. i do a pretty good job at controlling my temper but i feel im being constantly pushed. how can you prove love when you are wrong no matter what you do.i let her sleep i cook dinners. i try to keep the tv volume down. if i change the channel when i dont think shes watching i get told im inconsiderate and rude.but she will change it when i leave the room. she says i have the volume too loud. but she will blast music on the computer whil im watching tv..i know im not a perfect man i definatly have faults. im not looking to place blame on her. im not looking for someone to be on my side. i just want to know what am i still doing wrong. i am sorry for my stupidity but i have never cheated on her. i know it did hurt but i didnt mean any harm. maybe i am an .maybe not. can someone please help me i love her and she still loves me. what can i do to let her know i really do still love her. i want to have a happy future together. the past wont go away and i doubt shell ever forgive. where do i go from here.